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Finding the Third Proportional to 10,381 and 22,717

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Solution

The third proportional to 10,381 and 22,717 is: 49,712.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381 : 22,717 = 22,717 : x
  2. Step 2: Convert to fraction form
    10,381/22,717 = 22,717/x
  3. Step 3: Cross multiply
    10,381x = 22,717 × 22,717
  4. Step 4: Simplify right side
    10,381x = 516,062,089
  5. Step 5: Solve for x
    x = 516,062,089/10,381
  6. Step 6: Final answer
    x = 49,712.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.