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Finding the Third Proportional to 37,091 and 56,571

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Solution

The third proportional to 37,091 and 56,571 is: 86,281.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,091 : 56,571 = 56,571 : x
  2. Step 2: Convert to fraction form
    37,091/56,571 = 56,571/x
  3. Step 3: Cross multiply
    37,091x = 56,571 × 56,571
  4. Step 4: Simplify right side
    37,091x = 3,200,278,041
  5. Step 5: Solve for x
    x = 3,200,278,041/37,091
  6. Step 6: Final answer
    x = 86,281.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.