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Finding the Third Proportional to 9.25 and 14.00

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Solution

The third proportional to 9.25 and 14.00 is: 21.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.25 : 14.00 = 14.00 : x
  2. Step 2: Convert to fraction form
    9.25/14.00 = 14.00/x
  3. Step 3: Cross multiply
    9.25x = 14.00 × 14.00
  4. Step 4: Simplify right side
    9.25x = 196.03
  5. Step 5: Solve for x
    x = 196.03/9.25
  6. Step 6: Final answer
    x = 21.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.