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Finding the Third Proportional to 4,252.50 and 5,791.92

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Solution

The third proportional to 4,252.50 and 5,791.92 is: 7,888.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,252.50 : 5,791.92 = 5,791.92 : x
  2. Step 2: Convert to fraction form
    4,252.50/5,791.92 = 5,791.92/x
  3. Step 3: Cross multiply
    4,252.50x = 5,791.92 × 5,791.92
  4. Step 4: Simplify right side
    4,252.50x = 33,546,359.01
  5. Step 5: Solve for x
    x = 33,546,359.01/4,252.50
  6. Step 6: Final answer
    x = 7,888.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.