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Finding the Third Proportional to 10,613 and 22,675

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Solution

The third proportional to 10,613 and 22,675 is: 48,445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613 : 22,675 = 22,675 : x
  2. Step 2: Convert to fraction form
    10,613/22,675 = 22,675/x
  3. Step 3: Cross multiply
    10,613x = 22,675 × 22,675
  4. Step 4: Simplify right side
    10,613x = 514,155,625
  5. Step 5: Solve for x
    x = 514,155,625/10,613
  6. Step 6: Final answer
    x = 48,445.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.