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Finding the Third Proportional to 11,514 and 24,188

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Solution

The third proportional to 11,514 and 24,188 is: 50,812.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514 : 24,188 = 24,188 : x
  2. Step 2: Convert to fraction form
    11,514/24,188 = 24,188/x
  3. Step 3: Cross multiply
    11,514x = 24,188 × 24,188
  4. Step 4: Simplify right side
    11,514x = 585,059,344
  5. Step 5: Solve for x
    x = 585,059,344/11,514
  6. Step 6: Final answer
    x = 50,812.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.