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Finding the Third Proportional to 1,546.31 and 3,426.19

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Solution

The third proportional to 1,546.31 and 3,426.19 is: 7,591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.31 : 3,426.19 = 3,426.19 : x
  2. Step 2: Convert to fraction form
    1,546.31/3,426.19 = 3,426.19/x
  3. Step 3: Cross multiply
    1,546.31x = 3,426.19 × 3,426.19
  4. Step 4: Simplify right side
    1,546.31x = 11,738,760.79
  5. Step 5: Solve for x
    x = 11,738,760.79/1,546.31
  6. Step 6: Final answer
    x = 7,591.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.