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Finding the Third Proportional to 29,934 and 45,812

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Solution

The third proportional to 29,934 and 45,812 is: 70,112.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,934 : 45,812 = 45,812 : x
  2. Step 2: Convert to fraction form
    29,934/45,812 = 45,812/x
  3. Step 3: Cross multiply
    29,934x = 45,812 × 45,812
  4. Step 4: Simplify right side
    29,934x = 2,098,739,344
  5. Step 5: Solve for x
    x = 2,098,739,344/29,934
  6. Step 6: Final answer
    x = 70,112.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.