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Finding the Third Proportional to 48,782 and 71,439

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Solution

The third proportional to 48,782 and 71,439 is: 104,619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,782 : 71,439 = 71,439 : x
  2. Step 2: Convert to fraction form
    48,782/71,439 = 71,439/x
  3. Step 3: Cross multiply
    48,782x = 71,439 × 71,439
  4. Step 4: Simplify right side
    48,782x = 5,103,530,721
  5. Step 5: Solve for x
    x = 5,103,530,721/48,782
  6. Step 6: Final answer
    x = 104,619.14

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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.