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Finding the Third Proportional to 2,427.19 and 2,760.19

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Solution

The third proportional to 2,427.19 and 2,760.19 is: 3,138.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.19 : 2,760.19 = 2,760.19 : x
  2. Step 2: Convert to fraction form
    2,427.19/2,760.19 = 2,760.19/x
  3. Step 3: Cross multiply
    2,427.19x = 2,760.19 × 2,760.19
  4. Step 4: Simplify right side
    2,427.19x = 7,618,635.04
  5. Step 5: Solve for x
    x = 7,618,635.04/2,427.19
  6. Step 6: Final answer
    x = 3,138.87

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.