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Finding the Third Proportional to 15,711 and 22,394

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Solution

The third proportional to 15,711 and 22,394 is: 31,919.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711 : 22,394 = 22,394 : x
  2. Step 2: Convert to fraction form
    15,711/22,394 = 22,394/x
  3. Step 3: Cross multiply
    15,711x = 22,394 × 22,394
  4. Step 4: Simplify right side
    15,711x = 501,491,236
  5. Step 5: Solve for x
    x = 501,491,236/15,711
  6. Step 6: Final answer
    x = 31,919.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.