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Finding the Third Proportional to 9 and 11.25

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Solution

The third proportional to 9 and 11.25 is: 14.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9 : 11.25 = 11.25 : x
  2. Step 2: Convert to fraction form
    9/11.25 = 11.25/x
  3. Step 3: Cross multiply
    9x = 11.25 × 11.25
  4. Step 4: Simplify right side
    9x = 126.56
  5. Step 5: Solve for x
    x = 126.56/9
  6. Step 6: Final answer
    x = 14.06

Related Problems

Find third proportional to 4.50 and 5.63
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.