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Finding the Third Proportional to 1,326.38 and 2,080.69

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Solution

The third proportional to 1,326.38 and 2,080.69 is: 3,263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.38 : 2,080.69 = 2,080.69 : x
  2. Step 2: Convert to fraction form
    1,326.38/2,080.69 = 2,080.69/x
  3. Step 3: Cross multiply
    1,326.38x = 2,080.69 × 2,080.69
  4. Step 4: Simplify right side
    1,326.38x = 4,329,260.47
  5. Step 5: Solve for x
    x = 4,329,260.47/1,326.38
  6. Step 6: Final answer
    x = 3,263.98

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.