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Finding the Third Proportional to 38,974.50 and 57,002.75

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Solution

The third proportional to 38,974.50 and 57,002.75 is: 83,370.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,974.50 : 57,002.75 = 57,002.75 : x
  2. Step 2: Convert to fraction form
    38,974.50/57,002.75 = 57,002.75/x
  3. Step 3: Cross multiply
    38,974.50x = 57,002.75 × 57,002.75
  4. Step 4: Simplify right side
    38,974.50x = 3,249,313,507.56
  5. Step 5: Solve for x
    x = 3,249,313,507.56/38,974.50
  6. Step 6: Final answer
    x = 83,370.24

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.