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Finding the Third Proportional to 29,754 and 47,839

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Solution

The third proportional to 29,754 and 47,839 is: 76,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,754 : 47,839 = 47,839 : x
  2. Step 2: Convert to fraction form
    29,754/47,839 = 47,839/x
  3. Step 3: Cross multiply
    29,754x = 47,839 × 47,839
  4. Step 4: Simplify right side
    29,754x = 2,288,569,921
  5. Step 5: Solve for x
    x = 2,288,569,921/29,754
  6. Step 6: Final answer
    x = 76,916.38

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.