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Finding the Third Proportional to 29,112 and 62,032

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Solution

The third proportional to 29,112 and 62,032 is: 132,178.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,112 : 62,032 = 62,032 : x
  2. Step 2: Convert to fraction form
    29,112/62,032 = 62,032/x
  3. Step 3: Cross multiply
    29,112x = 62,032 × 62,032
  4. Step 4: Simplify right side
    29,112x = 3,847,969,024
  5. Step 5: Solve for x
    x = 3,847,969,024/29,112
  6. Step 6: Final answer
    x = 132,178.11

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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.