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Finding the Third Proportional to 37,680.75 and 57,008.25

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Solution

The third proportional to 37,680.75 and 57,008.25 is: 86,249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,680.75 : 57,008.25 = 57,008.25 : x
  2. Step 2: Convert to fraction form
    37,680.75/57,008.25 = 57,008.25/x
  3. Step 3: Cross multiply
    37,680.75x = 57,008.25 × 57,008.25
  4. Step 4: Simplify right side
    37,680.75x = 3,249,940,568.06
  5. Step 5: Solve for x
    x = 3,249,940,568.06/37,680.75
  6. Step 6: Final answer
    x = 86,249.36

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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.