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Finding the Third Proportional to 1,326.38 and 3,097.31

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Solution

The third proportional to 1,326.38 and 3,097.31 is: 7,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.38 : 3,097.31 = 3,097.31 : x
  2. Step 2: Convert to fraction form
    1,326.38/3,097.31 = 3,097.31/x
  3. Step 3: Cross multiply
    1,326.38x = 3,097.31 × 3,097.31
  4. Step 4: Simplify right side
    1,326.38x = 9,593,344.72
  5. Step 5: Solve for x
    x = 9,593,344.72/1,326.38
  6. Step 6: Final answer
    x = 7,232.75

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.