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Finding the Third Proportional to 37,573.88 and 57,778.31

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Solution

The third proportional to 37,573.88 and 57,778.31 is: 88,847.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,573.88 : 57,778.31 = 57,778.31 : x
  2. Step 2: Convert to fraction form
    37,573.88/57,778.31 = 57,778.31/x
  3. Step 3: Cross multiply
    37,573.88x = 57,778.31 × 57,778.31
  4. Step 4: Simplify right side
    37,573.88x = 3,338,333,395.35
  5. Step 5: Solve for x
    x = 3,338,333,395.35/37,573.88
  6. Step 6: Final answer
    x = 88,847.19

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.