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Finding the Third Proportional to 29,757 and 63,330

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Solution

The third proportional to 29,757 and 63,330 is: 134,781.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,757 : 63,330 = 63,330 : x
  2. Step 2: Convert to fraction form
    29,757/63,330 = 63,330/x
  3. Step 3: Cross multiply
    29,757x = 63,330 × 63,330
  4. Step 4: Simplify right side
    29,757x = 4,010,688,900
  5. Step 5: Solve for x
    x = 4,010,688,900/29,757
  6. Step 6: Final answer
    x = 134,781.36

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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.