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Finding the Third Proportional to 3,184.88 and 4,128.75

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Solution

The third proportional to 3,184.88 and 4,128.75 is: 5,352.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.88 : 4,128.75 = 4,128.75 : x
  2. Step 2: Convert to fraction form
    3,184.88/4,128.75 = 4,128.75/x
  3. Step 3: Cross multiply
    3,184.88x = 4,128.75 × 4,128.75
  4. Step 4: Simplify right side
    3,184.88x = 17,046,576.56
  5. Step 5: Solve for x
    x = 17,046,576.56/3,184.88
  6. Step 6: Final answer
    x = 5,352.35

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.