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Finding the Third Proportional to 24,674 and 52,423

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Solution

The third proportional to 24,674 and 52,423 is: 111,379.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,674 : 52,423 = 52,423 : x
  2. Step 2: Convert to fraction form
    24,674/52,423 = 52,423/x
  3. Step 3: Cross multiply
    24,674x = 52,423 × 52,423
  4. Step 4: Simplify right side
    24,674x = 2,748,170,929
  5. Step 5: Solve for x
    x = 2,748,170,929/24,674
  6. Step 6: Final answer
    x = 111,379.22

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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.