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Finding the Third Proportional to 15,880 and 34,864

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Solution

The third proportional to 15,880 and 34,864 is: 76,542.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,880 : 34,864 = 34,864 : x
  2. Step 2: Convert to fraction form
    15,880/34,864 = 34,864/x
  3. Step 3: Cross multiply
    15,880x = 34,864 × 34,864
  4. Step 4: Simplify right side
    15,880x = 1,215,498,496
  5. Step 5: Solve for x
    x = 1,215,498,496/15,880
  6. Step 6: Final answer
    x = 76,542.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.