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Finding the Third Proportional to 1,576.18 and 2,439.02

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Solution

The third proportional to 1,576.18 and 2,439.02 is: 3,774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.18 : 2,439.02 = 2,439.02 : x
  2. Step 2: Convert to fraction form
    1,576.18/2,439.02 = 2,439.02/x
  3. Step 3: Cross multiply
    1,576.18x = 2,439.02 × 2,439.02
  4. Step 4: Simplify right side
    1,576.18x = 5,948,806.75
  5. Step 5: Solve for x
    x = 5,948,806.75/1,576.18
  6. Step 6: Final answer
    x = 3,774.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.