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Finding the Third Proportional to 24,593 and 52,769

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Solution

The third proportional to 24,593 and 52,769 is: 113,226.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,593 : 52,769 = 52,769 : x
  2. Step 2: Convert to fraction form
    24,593/52,769 = 52,769/x
  3. Step 3: Cross multiply
    24,593x = 52,769 × 52,769
  4. Step 4: Simplify right side
    24,593x = 2,784,567,361
  5. Step 5: Solve for x
    x = 2,784,567,361/24,593
  6. Step 6: Final answer
    x = 113,226.01

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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.