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Finding the Third Proportional to 38,293.50 and 57,480.75

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Solution

The third proportional to 38,293.50 and 57,480.75 is: 86,281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,293.50 : 57,480.75 = 57,480.75 : x
  2. Step 2: Convert to fraction form
    38,293.50/57,480.75 = 57,480.75/x
  3. Step 3: Cross multiply
    38,293.50x = 57,480.75 × 57,480.75
  4. Step 4: Simplify right side
    38,293.50x = 3,304,036,620.56
  5. Step 5: Solve for x
    x = 3,304,036,620.56/38,293.50
  6. Step 6: Final answer
    x = 86,281.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.