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Finding the Third Proportional to 1,252.69 and 3,391.31

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Solution

The third proportional to 1,252.69 and 3,391.31 is: 9,181.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.69 : 3,391.31 = 3,391.31 : x
  2. Step 2: Convert to fraction form
    1,252.69/3,391.31 = 3,391.31/x
  3. Step 3: Cross multiply
    1,252.69x = 3,391.31 × 3,391.31
  4. Step 4: Simplify right side
    1,252.69x = 11,501,000.47
  5. Step 5: Solve for x
    x = 11,501,000.47/1,252.69
  6. Step 6: Final answer
    x = 9,181.06

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.