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Finding the Third Proportional to 1,342.97 and 2,769.47

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Solution

The third proportional to 1,342.97 and 2,769.47 is: 5,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.97 : 2,769.47 = 2,769.47 : x
  2. Step 2: Convert to fraction form
    1,342.97/2,769.47 = 2,769.47/x
  3. Step 3: Cross multiply
    1,342.97x = 2,769.47 × 2,769.47
  4. Step 4: Simplify right side
    1,342.97x = 7,669,957.16
  5. Step 5: Solve for x
    x = 7,669,957.16/1,342.97
  6. Step 6: Final answer
    x = 5,711.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.