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Finding the Third Proportional to 29.72 and 62.53

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Solution

The third proportional to 29.72 and 62.53 is: 131.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.72 : 62.53 = 62.53 : x
  2. Step 2: Convert to fraction form
    29.72/62.53 = 62.53/x
  3. Step 3: Cross multiply
    29.72x = 62.53 × 62.53
  4. Step 4: Simplify right side
    29.72x = 3,910.16
  5. Step 5: Solve for x
    x = 3,910.16/29.72
  6. Step 6: Final answer
    x = 131.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.