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Finding the Third Proportional to 10,359 and 24,561

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Solution

The third proportional to 10,359 and 24,561 is: 58,233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,359 : 24,561 = 24,561 : x
  2. Step 2: Convert to fraction form
    10,359/24,561 = 24,561/x
  3. Step 3: Cross multiply
    10,359x = 24,561 × 24,561
  4. Step 4: Simplify right side
    10,359x = 603,242,721
  5. Step 5: Solve for x
    x = 603,242,721/10,359
  6. Step 6: Final answer
    x = 58,233.68

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.