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Finding the Third Proportional to 10,376 and 22,398

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Solution

The third proportional to 10,376 and 22,398 is: 48,349.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376 : 22,398 = 22,398 : x
  2. Step 2: Convert to fraction form
    10,376/22,398 = 22,398/x
  3. Step 3: Cross multiply
    10,376x = 22,398 × 22,398
  4. Step 4: Simplify right side
    10,376x = 501,670,404
  5. Step 5: Solve for x
    x = 501,670,404/10,376
  6. Step 6: Final answer
    x = 48,349.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.