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Finding the Third Proportional to 2,046.04 and 3,086.15

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Solution

The third proportional to 2,046.04 and 3,086.15 is: 4,654.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.04 : 3,086.15 = 3,086.15 : x
  2. Step 2: Convert to fraction form
    2,046.04/3,086.15 = 3,086.15/x
  3. Step 3: Cross multiply
    2,046.04x = 3,086.15 × 3,086.15
  4. Step 4: Simplify right side
    2,046.04x = 9,524,306.15
  5. Step 5: Solve for x
    x = 9,524,306.15/2,046.04
  6. Step 6: Final answer
    x = 4,654.99

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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.