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Finding the Third Proportional to 3,925.97 and 8,394.89

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Solution

The third proportional to 3,925.97 and 8,394.89 is: 17,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.97 : 8,394.89 = 8,394.89 : x
  2. Step 2: Convert to fraction form
    3,925.97/8,394.89 = 8,394.89/x
  3. Step 3: Cross multiply
    3,925.97x = 8,394.89 × 8,394.89
  4. Step 4: Simplify right side
    3,925.97x = 70,474,188.61
  5. Step 5: Solve for x
    x = 70,474,188.61/3,925.97
  6. Step 6: Final answer
    x = 17,950.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.