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Finding the Third Proportional to 10,613 and 22,870

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Solution

The third proportional to 10,613 and 22,870 is: 49,282.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613 : 22,870 = 22,870 : x
  2. Step 2: Convert to fraction form
    10,613/22,870 = 22,870/x
  3. Step 3: Cross multiply
    10,613x = 22,870 × 22,870
  4. Step 4: Simplify right side
    10,613x = 523,036,900
  5. Step 5: Solve for x
    x = 523,036,900/10,613
  6. Step 6: Final answer
    x = 49,282.66

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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.