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Finding the Third Proportional to 24,612 and 36,400

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Solution

The third proportional to 24,612 and 36,400 is: 53,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,612 : 36,400 = 36,400 : x
  2. Step 2: Convert to fraction form
    24,612/36,400 = 36,400/x
  3. Step 3: Cross multiply
    24,612x = 36,400 × 36,400
  4. Step 4: Simplify right side
    24,612x = 1,324,960,000
  5. Step 5: Solve for x
    x = 1,324,960,000/24,612
  6. Step 6: Final answer
    x = 53,833.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.