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Finding the Third Proportional to 1,343.03 and 2,959.43

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Solution

The third proportional to 1,343.03 and 2,959.43 is: 6,521.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.03 : 2,959.43 = 2,959.43 : x
  2. Step 2: Convert to fraction form
    1,343.03/2,959.43 = 2,959.43/x
  3. Step 3: Cross multiply
    1,343.03x = 2,959.43 × 2,959.43
  4. Step 4: Simplify right side
    1,343.03x = 8,758,206.73
  5. Step 5: Solve for x
    x = 8,758,206.73/1,343.03
  6. Step 6: Final answer
    x = 6,521.25

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Why These Related Problems?

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