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Finding the Third Proportional to 11,561 and 24,943

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Solution

The third proportional to 11,561 and 24,943 is: 53,814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561 : 24,943 = 24,943 : x
  2. Step 2: Convert to fraction form
    11,561/24,943 = 24,943/x
  3. Step 3: Cross multiply
    11,561x = 24,943 × 24,943
  4. Step 4: Simplify right side
    11,561x = 622,153,249
  5. Step 5: Solve for x
    x = 622,153,249/11,561
  6. Step 6: Final answer
    x = 53,814.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.