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Finding the Third Proportional to 37,249.88 and 56,057.06

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Solution

The third proportional to 37,249.88 and 56,057.06 is: 84,359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,249.88 : 56,057.06 = 56,057.06 : x
  2. Step 2: Convert to fraction form
    37,249.88/56,057.06 = 56,057.06/x
  3. Step 3: Cross multiply
    37,249.88x = 56,057.06 × 56,057.06
  4. Step 4: Simplify right side
    37,249.88x = 3,142,394,256.13
  5. Step 5: Solve for x
    x = 3,142,394,256.13/37,249.88
  6. Step 6: Final answer
    x = 84,359.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.