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Finding the Third Proportional to 14.17 and 29.60

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Solution

The third proportional to 14.17 and 29.60 is: 61.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.17 : 29.60 = 29.60 : x
  2. Step 2: Convert to fraction form
    14.17/29.60 = 29.60/x
  3. Step 3: Cross multiply
    14.17x = 29.60 × 29.60
  4. Step 4: Simplify right side
    14.17x = 876.25
  5. Step 5: Solve for x
    x = 876.25/14.17
  6. Step 6: Final answer
    x = 61.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.