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Finding the Third Proportional to 1,546.59 and 3,399.47

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Solution

The third proportional to 1,546.59 and 3,399.47 is: 7,472.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.59 : 3,399.47 = 3,399.47 : x
  2. Step 2: Convert to fraction form
    1,546.59/3,399.47 = 3,399.47/x
  3. Step 3: Cross multiply
    1,546.59x = 3,399.47 × 3,399.47
  4. Step 4: Simplify right side
    1,546.59x = 11,556,387.78
  5. Step 5: Solve for x
    x = 11,556,387.78/1,546.59
  6. Step 6: Final answer
    x = 7,472.15

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.