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Finding the Third Proportional to 37,145.25 and 57,543.75

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Solution

The third proportional to 37,145.25 and 57,543.75 is: 89,144.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,145.25 : 57,543.75 = 57,543.75 : x
  2. Step 2: Convert to fraction form
    37,145.25/57,543.75 = 57,543.75/x
  3. Step 3: Cross multiply
    37,145.25x = 57,543.75 × 57,543.75
  4. Step 4: Simplify right side
    37,145.25x = 3,311,283,164.06
  5. Step 5: Solve for x
    x = 3,311,283,164.06/37,145.25
  6. Step 6: Final answer
    x = 89,144.19

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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.