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Finding the Third Proportional to 29,937 and 62,970

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Solution

The third proportional to 29,937 and 62,970 is: 132,452.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,937 : 62,970 = 62,970 : x
  2. Step 2: Convert to fraction form
    29,937/62,970 = 62,970/x
  3. Step 3: Cross multiply
    29,937x = 62,970 × 62,970
  4. Step 4: Simplify right side
    29,937x = 3,965,220,900
  5. Step 5: Solve for x
    x = 3,965,220,900/29,937
  6. Step 6: Final answer
    x = 132,452.18

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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.