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Finding the Third Proportional to 47,792 and 73,694

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Solution

The third proportional to 47,792 and 73,694 is: 113,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,792 : 73,694 = 73,694 : x
  2. Step 2: Convert to fraction form
    47,792/73,694 = 73,694/x
  3. Step 3: Cross multiply
    47,792x = 73,694 × 73,694
  4. Step 4: Simplify right side
    47,792x = 5,430,805,636
  5. Step 5: Solve for x
    x = 5,430,805,636/47,792
  6. Step 6: Final answer
    x = 113,634.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.