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Finding the Third Proportional to 1,279.13 and 2,899.55

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Solution

The third proportional to 1,279.13 and 2,899.55 is: 6,572.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.13 : 2,899.55 = 2,899.55 : x
  2. Step 2: Convert to fraction form
    1,279.13/2,899.55 = 2,899.55/x
  3. Step 3: Cross multiply
    1,279.13x = 2,899.55 × 2,899.55
  4. Step 4: Simplify right side
    1,279.13x = 8,407,372.08
  5. Step 5: Solve for x
    x = 8,407,372.08/1,279.13
  6. Step 6: Final answer
    x = 6,572.75

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.