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Finding the Third Proportional to 1,382.77 and 3,008.39

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Solution

The third proportional to 1,382.77 and 3,008.39 is: 6,545.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.77 : 3,008.39 = 3,008.39 : x
  2. Step 2: Convert to fraction form
    1,382.77/3,008.39 = 3,008.39/x
  3. Step 3: Cross multiply
    1,382.77x = 3,008.39 × 3,008.39
  4. Step 4: Simplify right side
    1,382.77x = 9,050,414.15
  5. Step 5: Solve for x
    x = 9,050,414.15/1,382.77
  6. Step 6: Final answer
    x = 6,545.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.