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Finding the Third Proportional to 1,353.38 and 2,748.52

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Solution

The third proportional to 1,353.38 and 2,748.52 is: 5,581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.38 : 2,748.52 = 2,748.52 : x
  2. Step 2: Convert to fraction form
    1,353.38/2,748.52 = 2,748.52/x
  3. Step 3: Cross multiply
    1,353.38x = 2,748.52 × 2,748.52
  4. Step 4: Simplify right side
    1,353.38x = 7,554,338.14
  5. Step 5: Solve for x
    x = 7,554,338.14/1,353.38
  6. Step 6: Final answer
    x = 5,581.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.