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Finding the Third Proportional to 15,834 and 27,942

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Solution

The third proportional to 15,834 and 27,942 is: 49,308.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,834 : 27,942 = 27,942 : x
  2. Step 2: Convert to fraction form
    15,834/27,942 = 27,942/x
  3. Step 3: Cross multiply
    15,834x = 27,942 × 27,942
  4. Step 4: Simplify right side
    15,834x = 780,755,364
  5. Step 5: Solve for x
    x = 780,755,364/15,834
  6. Step 6: Final answer
    x = 49,308.79

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.