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Finding the Third Proportional to 4,198.50 and 4,725

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Solution

The third proportional to 4,198.50 and 4,725 is: 5,317.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.50 : 4,725 = 4,725 : x
  2. Step 2: Convert to fraction form
    4,198.50/4,725 = 4,725/x
  3. Step 3: Cross multiply
    4,198.50x = 4,725 × 4,725
  4. Step 4: Simplify right side
    4,198.50x = 22,325,625
  5. Step 5: Solve for x
    x = 22,325,625/4,198.50
  6. Step 6: Final answer
    x = 5,317.52

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.