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Finding the Third Proportional to 10,331 and 22,379

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Solution

The third proportional to 10,331 and 22,379 is: 48,477.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,331 : 22,379 = 22,379 : x
  2. Step 2: Convert to fraction form
    10,331/22,379 = 22,379/x
  3. Step 3: Cross multiply
    10,331x = 22,379 × 22,379
  4. Step 4: Simplify right side
    10,331x = 500,819,641
  5. Step 5: Solve for x
    x = 500,819,641/10,331
  6. Step 6: Final answer
    x = 48,477.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.