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Finding the Third Proportional to 47,680 and 69,694

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Solution

The third proportional to 47,680 and 69,694 is: 101,871.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,680 : 69,694 = 69,694 : x
  2. Step 2: Convert to fraction form
    47,680/69,694 = 69,694/x
  3. Step 3: Cross multiply
    47,680x = 69,694 × 69,694
  4. Step 4: Simplify right side
    47,680x = 4,857,253,636
  5. Step 5: Solve for x
    x = 4,857,253,636/47,680
  6. Step 6: Final answer
    x = 101,871.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.