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Finding the Third Proportional to 37,057.50 and 54,607.50

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Solution

The third proportional to 37,057.50 and 54,607.50 is: 80,468.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,057.50 : 54,607.50 = 54,607.50 : x
  2. Step 2: Convert to fraction form
    37,057.50/54,607.50 = 54,607.50/x
  3. Step 3: Cross multiply
    37,057.50x = 54,607.50 × 54,607.50
  4. Step 4: Simplify right side
    37,057.50x = 2,981,979,056.25
  5. Step 5: Solve for x
    x = 2,981,979,056.25/37,057.50
  6. Step 6: Final answer
    x = 80,468.98

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.