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Finding the Third Proportional to 1,281.38 and 2,758.29

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Solution

The third proportional to 1,281.38 and 2,758.29 is: 5,937.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.38 : 2,758.29 = 2,758.29 : x
  2. Step 2: Convert to fraction form
    1,281.38/2,758.29 = 2,758.29/x
  3. Step 3: Cross multiply
    1,281.38x = 2,758.29 × 2,758.29
  4. Step 4: Simplify right side
    1,281.38x = 7,608,158.55
  5. Step 5: Solve for x
    x = 7,608,158.55/1,281.38
  6. Step 6: Final answer
    x = 5,937.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.