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Finding the Third Proportional to 3,184.69 and 6,947.81

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Solution

The third proportional to 3,184.69 and 6,947.81 is: 15,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.69 : 6,947.81 = 6,947.81 : x
  2. Step 2: Convert to fraction form
    3,184.69/6,947.81 = 6,947.81/x
  3. Step 3: Cross multiply
    3,184.69x = 6,947.81 × 6,947.81
  4. Step 4: Simplify right side
    3,184.69x = 48,272,098.54
  5. Step 5: Solve for x
    x = 48,272,098.54/3,184.69
  6. Step 6: Final answer
    x = 15,157.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.