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Finding the Third Proportional to 24,182 and 37,373

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Solution

The third proportional to 24,182 and 37,373 is: 57,759.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,182 : 37,373 = 37,373 : x
  2. Step 2: Convert to fraction form
    24,182/37,373 = 37,373/x
  3. Step 3: Cross multiply
    24,182x = 37,373 × 37,373
  4. Step 4: Simplify right side
    24,182x = 1,396,741,129
  5. Step 5: Solve for x
    x = 1,396,741,129/24,182
  6. Step 6: Final answer
    x = 57,759.54

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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.