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Finding the Third Proportional to 24,581 and 52,809

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Solution

The third proportional to 24,581 and 52,809 is: 113,453.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,581 : 52,809 = 52,809 : x
  2. Step 2: Convert to fraction form
    24,581/52,809 = 52,809/x
  3. Step 3: Cross multiply
    24,581x = 52,809 × 52,809
  4. Step 4: Simplify right side
    24,581x = 2,788,790,481
  5. Step 5: Solve for x
    x = 2,788,790,481/24,581
  6. Step 6: Final answer
    x = 113,453.09

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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.