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Finding the Third Proportional to 24,866 and 52,612

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Solution

The third proportional to 24,866 and 52,612 is: 111,317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,866 : 52,612 = 52,612 : x
  2. Step 2: Convert to fraction form
    24,866/52,612 = 52,612/x
  3. Step 3: Cross multiply
    24,866x = 52,612 × 52,612
  4. Step 4: Simplify right side
    24,866x = 2,768,022,544
  5. Step 5: Solve for x
    x = 2,768,022,544/24,866
  6. Step 6: Final answer
    x = 111,317.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.