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Finding the Third Proportional to 37,687.50 and 57,017.25

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Solution

The third proportional to 37,687.50 and 57,017.25 is: 86,261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,687.50 : 57,017.25 = 57,017.25 : x
  2. Step 2: Convert to fraction form
    37,687.50/57,017.25 = 57,017.25/x
  3. Step 3: Cross multiply
    37,687.50x = 57,017.25 × 57,017.25
  4. Step 4: Simplify right side
    37,687.50x = 3,250,966,797.56
  5. Step 5: Solve for x
    x = 3,250,966,797.56/37,687.50
  6. Step 6: Final answer
    x = 86,261.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.