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Finding the Third Proportional to 675.84 and 1,439.02

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Solution

The third proportional to 675.84 and 1,439.02 is: 3,063.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.84 : 1,439.02 = 1,439.02 : x
  2. Step 2: Convert to fraction form
    675.84/1,439.02 = 1,439.02/x
  3. Step 3: Cross multiply
    675.84x = 1,439.02 × 1,439.02
  4. Step 4: Simplify right side
    675.84x = 2,070,765.97
  5. Step 5: Solve for x
    x = 2,070,765.97/675.84
  6. Step 6: Final answer
    x = 3,063.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.