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Finding the Third Proportional to 3,187.69 and 6,859.69

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Solution

The third proportional to 3,187.69 and 6,859.69 is: 14,761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.69 : 6,859.69 = 6,859.69 : x
  2. Step 2: Convert to fraction form
    3,187.69/6,859.69 = 6,859.69/x
  3. Step 3: Cross multiply
    3,187.69x = 6,859.69 × 6,859.69
  4. Step 4: Simplify right side
    3,187.69x = 47,055,312.60
  5. Step 5: Solve for x
    x = 47,055,312.60/3,187.69
  6. Step 6: Final answer
    x = 14,761.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.