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Finding the Third Proportional to 23,930 and 55,613

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Solution

The third proportional to 23,930 and 55,613 is: 129,243.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,930 : 55,613 = 55,613 : x
  2. Step 2: Convert to fraction form
    23,930/55,613 = 55,613/x
  3. Step 3: Cross multiply
    23,930x = 55,613 × 55,613
  4. Step 4: Simplify right side
    23,930x = 3,092,805,769
  5. Step 5: Solve for x
    x = 3,092,805,769/23,930
  6. Step 6: Final answer
    x = 129,243.87

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.