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Finding the Third Proportional to 29,713 and 64,757

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Solution

The third proportional to 29,713 and 64,757 is: 141,132.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,713 : 64,757 = 64,757 : x
  2. Step 2: Convert to fraction form
    29,713/64,757 = 64,757/x
  3. Step 3: Cross multiply
    29,713x = 64,757 × 64,757
  4. Step 4: Simplify right side
    29,713x = 4,193,469,049
  5. Step 5: Solve for x
    x = 4,193,469,049/29,713
  6. Step 6: Final answer
    x = 141,132.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.