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Finding the Third Proportional to 47,943 and 74,439

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Solution

The third proportional to 47,943 and 74,439 is: 115,578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,943 : 74,439 = 74,439 : x
  2. Step 2: Convert to fraction form
    47,943/74,439 = 74,439/x
  3. Step 3: Cross multiply
    47,943x = 74,439 × 74,439
  4. Step 4: Simplify right side
    47,943x = 5,541,164,721
  5. Step 5: Solve for x
    x = 5,541,164,721/47,943
  6. Step 6: Final answer
    x = 115,578.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.