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Finding the Third Proportional to 2,409.12 and 5,279.55

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Solution

The third proportional to 2,409.12 and 5,279.55 is: 11,570.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.12 : 5,279.55 = 5,279.55 : x
  2. Step 2: Convert to fraction form
    2,409.12/5,279.55 = 5,279.55/x
  3. Step 3: Cross multiply
    2,409.12x = 5,279.55 × 5,279.55
  4. Step 4: Simplify right side
    2,409.12x = 27,873,697.70
  5. Step 5: Solve for x
    x = 27,873,697.70/2,409.12
  6. Step 6: Final answer
    x = 11,570.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.