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Finding the Third Proportional to 1,387.69 and 3,340.69

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Solution

The third proportional to 1,387.69 and 3,340.69 is: 8,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.69 : 3,340.69 = 3,340.69 : x
  2. Step 2: Convert to fraction form
    1,387.69/3,340.69 = 3,340.69/x
  3. Step 3: Cross multiply
    1,387.69x = 3,340.69 × 3,340.69
  4. Step 4: Simplify right side
    1,387.69x = 11,160,192.97
  5. Step 5: Solve for x
    x = 11,160,192.97/1,387.69
  6. Step 6: Final answer
    x = 8,042.30

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.