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Finding the Third Proportional to 37,111.50 and 80,884.13

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Solution

The third proportional to 37,111.50 and 80,884.13 is: 176,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,111.50 : 80,884.13 = 80,884.13 : x
  2. Step 2: Convert to fraction form
    37,111.50/80,884.13 = 80,884.13/x
  3. Step 3: Cross multiply
    37,111.50x = 80,884.13 × 80,884.13
  4. Step 4: Simplify right side
    37,111.50x = 6,542,241,677.02
  5. Step 5: Solve for x
    x = 6,542,241,677.02/37,111.50
  6. Step 6: Final answer
    x = 176,286.10

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.