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Finding the Third Proportional to 6,832.69 and 14,713.88

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Solution

The third proportional to 6,832.69 and 14,713.88 is: 31,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.69 : 14,713.88 = 14,713.88 : x
  2. Step 2: Convert to fraction form
    6,832.69/14,713.88 = 14,713.88/x
  3. Step 3: Cross multiply
    6,832.69x = 14,713.88 × 14,713.88
  4. Step 4: Simplify right side
    6,832.69x = 216,498,117.52
  5. Step 5: Solve for x
    x = 216,498,117.52/6,832.69
  6. Step 6: Final answer
    x = 31,685.65

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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.