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Finding the Third Proportional to 27,719 and 49,282

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Solution

The third proportional to 27,719 and 49,282 is: 87,619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,719 : 49,282 = 49,282 : x
  2. Step 2: Convert to fraction form
    27,719/49,282 = 49,282/x
  3. Step 3: Cross multiply
    27,719x = 49,282 × 49,282
  4. Step 4: Simplify right side
    27,719x = 2,428,715,524
  5. Step 5: Solve for x
    x = 2,428,715,524/27,719
  6. Step 6: Final answer
    x = 87,619.16

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.