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Finding the Third Proportional to 13,571 and 32,687.50

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Solution

The third proportional to 13,571 and 32,687.50 is: 78,732.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,571 : 32,687.50 = 32,687.50 : x
  2. Step 2: Convert to fraction form
    13,571/32,687.50 = 32,687.50/x
  3. Step 3: Cross multiply
    13,571x = 32,687.50 × 32,687.50
  4. Step 4: Simplify right side
    13,571x = 1,068,472,656.25
  5. Step 5: Solve for x
    x = 1,068,472,656.25/13,571
  6. Step 6: Final answer
    x = 78,732.05

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.