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Finding the Third Proportional to 3,359.81 and 7,294.78

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Solution

The third proportional to 3,359.81 and 7,294.78 is: 15,838.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,359.81 : 7,294.78 = 7,294.78 : x
  2. Step 2: Convert to fraction form
    3,359.81/7,294.78 = 7,294.78/x
  3. Step 3: Cross multiply
    3,359.81x = 7,294.78 × 7,294.78
  4. Step 4: Simplify right side
    3,359.81x = 53,213,833.49
  5. Step 5: Solve for x
    x = 53,213,833.49/3,359.81
  6. Step 6: Final answer
    x = 15,838.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.