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Finding the Third Proportional to 6.25 and 14.13

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Solution

The third proportional to 6.25 and 14.13 is: 31.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.25 : 14.13 = 14.13 : x
  2. Step 2: Convert to fraction form
    6.25/14.13 = 14.13/x
  3. Step 3: Cross multiply
    6.25x = 14.13 × 14.13
  4. Step 4: Simplify right side
    6.25x = 199.52
  5. Step 5: Solve for x
    x = 199.52/6.25
  6. Step 6: Final answer
    x = 31.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.