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Finding the Third Proportional to 2,519.44 and 5,476.15

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Solution

The third proportional to 2,519.44 and 5,476.15 is: 11,902.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.44 : 5,476.15 = 5,476.15 : x
  2. Step 2: Convert to fraction form
    2,519.44/5,476.15 = 5,476.15/x
  3. Step 3: Cross multiply
    2,519.44x = 5,476.15 × 5,476.15
  4. Step 4: Simplify right side
    2,519.44x = 29,988,201.71
  5. Step 5: Solve for x
    x = 29,988,201.71/2,519.44
  6. Step 6: Final answer
    x = 11,902.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.