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Finding the Third Proportional to 37,434 and 54,687

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Solution

The third proportional to 37,434 and 54,687 is: 79,891.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,434 : 54,687 = 54,687 : x
  2. Step 2: Convert to fraction form
    37,434/54,687 = 54,687/x
  3. Step 3: Cross multiply
    37,434x = 54,687 × 54,687
  4. Step 4: Simplify right side
    37,434x = 2,990,667,969
  5. Step 5: Solve for x
    x = 2,990,667,969/37,434
  6. Step 6: Final answer
    x = 79,891.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.