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Finding the Third Proportional to 1,927.69 and 4,147.80

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Solution

The third proportional to 1,927.69 and 4,147.80 is: 8,924.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.69 : 4,147.80 = 4,147.80 : x
  2. Step 2: Convert to fraction form
    1,927.69/4,147.80 = 4,147.80/x
  3. Step 3: Cross multiply
    1,927.69x = 4,147.80 × 4,147.80
  4. Step 4: Simplify right side
    1,927.69x = 17,204,283.73
  5. Step 5: Solve for x
    x = 17,204,283.73/1,927.69
  6. Step 6: Final answer
    x = 8,924.83

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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.