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Finding the Third Proportional to 2,419.31 and 5,279.06

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Solution

The third proportional to 2,419.31 and 5,279.06 is: 11,519.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.31 : 5,279.06 = 5,279.06 : x
  2. Step 2: Convert to fraction form
    2,419.31/5,279.06 = 5,279.06/x
  3. Step 3: Cross multiply
    2,419.31x = 5,279.06 × 5,279.06
  4. Step 4: Simplify right side
    2,419.31x = 27,868,500.88
  5. Step 5: Solve for x
    x = 27,868,500.88/2,419.31
  6. Step 6: Final answer
    x = 11,519.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.