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Finding the Third Proportional to 4,517.75 and 7,194.38

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Solution

The third proportional to 4,517.75 and 7,194.38 is: 11,456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.75 : 7,194.38 = 7,194.38 : x
  2. Step 2: Convert to fraction form
    4,517.75/7,194.38 = 7,194.38/x
  3. Step 3: Cross multiply
    4,517.75x = 7,194.38 × 7,194.38
  4. Step 4: Simplify right side
    4,517.75x = 51,759,031.64
  5. Step 5: Solve for x
    x = 51,759,031.64/4,517.75
  6. Step 6: Final answer
    x = 11,456.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.