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Finding the Third Proportional to 37,571 and 56,239

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Solution

The third proportional to 37,571 and 56,239 is: 84,182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,571 : 56,239 = 56,239 : x
  2. Step 2: Convert to fraction form
    37,571/56,239 = 56,239/x
  3. Step 3: Cross multiply
    37,571x = 56,239 × 56,239
  4. Step 4: Simplify right side
    37,571x = 3,162,825,121
  5. Step 5: Solve for x
    x = 3,162,825,121/37,571
  6. Step 6: Final answer
    x = 84,182.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.