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Finding the Third Proportional to 8,947.69 and 20,215.38

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Solution

The third proportional to 8,947.69 and 20,215.38 is: 45,672.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.69 : 20,215.38 = 20,215.38 : x
  2. Step 2: Convert to fraction form
    8,947.69/20,215.38 = 20,215.38/x
  3. Step 3: Cross multiply
    8,947.69x = 20,215.38 × 20,215.38
  4. Step 4: Simplify right side
    8,947.69x = 408,661,386.39
  5. Step 5: Solve for x
    x = 408,661,386.39/8,947.69
  6. Step 6: Final answer
    x = 45,672.29

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.