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Finding the Third Proportional to 24,630 and 54,188

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Solution

The third proportional to 24,630 and 54,188 is: 119,218.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,630 : 54,188 = 54,188 : x
  2. Step 2: Convert to fraction form
    24,630/54,188 = 54,188/x
  3. Step 3: Cross multiply
    24,630x = 54,188 × 54,188
  4. Step 4: Simplify right side
    24,630x = 2,936,339,344
  5. Step 5: Solve for x
    x = 2,936,339,344/24,630
  6. Step 6: Final answer
    x = 119,218.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.