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Finding the Third Proportional to 57,326.50 and 82,571

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Solution

The third proportional to 57,326.50 and 82,571 is: 118,932.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,326.50 : 82,571 = 82,571 : x
  2. Step 2: Convert to fraction form
    57,326.50/82,571 = 82,571/x
  3. Step 3: Cross multiply
    57,326.50x = 82,571 × 82,571
  4. Step 4: Simplify right side
    57,326.50x = 6,817,970,041
  5. Step 5: Solve for x
    x = 6,817,970,041/57,326.50
  6. Step 6: Final answer
    x = 118,932.26

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.