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Finding the Third Proportional to 6,866.65 and 14,097.80

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Solution

The third proportional to 6,866.65 and 14,097.80 is: 28,943.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.65 : 14,097.80 = 14,097.80 : x
  2. Step 2: Convert to fraction form
    6,866.65/14,097.80 = 14,097.80/x
  3. Step 3: Cross multiply
    6,866.65x = 14,097.80 × 14,097.80
  4. Step 4: Simplify right side
    6,866.65x = 198,747,876.73
  5. Step 5: Solve for x
    x = 198,747,876.73/6,866.65
  6. Step 6: Final answer
    x = 28,943.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.