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Finding the Third Proportional to 37,126.75 and 57,539.50

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Solution

The third proportional to 37,126.75 and 57,539.50 is: 89,175.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,126.75 : 57,539.50 = 57,539.50 : x
  2. Step 2: Convert to fraction form
    37,126.75/57,539.50 = 57,539.50/x
  3. Step 3: Cross multiply
    37,126.75x = 57,539.50 × 57,539.50
  4. Step 4: Simplify right side
    37,126.75x = 3,310,794,060.25
  5. Step 5: Solve for x
    x = 3,310,794,060.25/37,126.75
  6. Step 6: Final answer
    x = 89,175.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.