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Finding the Third Proportional to 3,938.20 and 6,097.78

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Solution

The third proportional to 3,938.20 and 6,097.78 is: 9,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.20 : 6,097.78 = 6,097.78 : x
  2. Step 2: Convert to fraction form
    3,938.20/6,097.78 = 6,097.78/x
  3. Step 3: Cross multiply
    3,938.20x = 6,097.78 × 6,097.78
  4. Step 4: Simplify right side
    3,938.20x = 37,182,936.17
  5. Step 5: Solve for x
    x = 37,182,936.17/3,938.20
  6. Step 6: Final answer
    x = 9,441.60

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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.