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Finding the Third Proportional to 29.53 and 62.86

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Solution

The third proportional to 29.53 and 62.86 is: 133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.53 : 62.86 = 62.86 : x
  2. Step 2: Convert to fraction form
    29.53/62.86 = 62.86/x
  3. Step 3: Cross multiply
    29.53x = 62.86 × 62.86
  4. Step 4: Simplify right side
    29.53x = 3,951.30
  5. Step 5: Solve for x
    x = 3,951.30/29.53
  6. Step 6: Final answer
    x = 133.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.