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Finding the Third Proportional to 24,192 and 37,381

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Solution

The third proportional to 24,192 and 37,381 is: 57,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,192 : 37,381 = 37,381 : x
  2. Step 2: Convert to fraction form
    24,192/37,381 = 37,381/x
  3. Step 3: Cross multiply
    24,192x = 37,381 × 37,381
  4. Step 4: Simplify right side
    24,192x = 1,397,339,161
  5. Step 5: Solve for x
    x = 1,397,339,161/24,192
  6. Step 6: Final answer
    x = 57,760.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.