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Finding the Third Proportional to 6,382.13 and 13,852.69

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Solution

The third proportional to 6,382.13 and 13,852.69 is: 30,067.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.13 : 13,852.69 = 13,852.69 : x
  2. Step 2: Convert to fraction form
    6,382.13/13,852.69 = 13,852.69/x
  3. Step 3: Cross multiply
    6,382.13x = 13,852.69 × 13,852.69
  4. Step 4: Simplify right side
    6,382.13x = 191,896,950.97
  5. Step 5: Solve for x
    x = 191,896,950.97/6,382.13
  6. Step 6: Final answer
    x = 30,067.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.