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Finding the Third Proportional to 10,437 and 22,394

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Solution

The third proportional to 10,437 and 22,394 is: 48,049.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437 : 22,394 = 22,394 : x
  2. Step 2: Convert to fraction form
    10,437/22,394 = 22,394/x
  3. Step 3: Cross multiply
    10,437x = 22,394 × 22,394
  4. Step 4: Simplify right side
    10,437x = 501,491,236
  5. Step 5: Solve for x
    x = 501,491,236/10,437
  6. Step 6: Final answer
    x = 48,049.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.