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Finding the Third Proportional to 3,322.69 and 7,116.19

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Solution

The third proportional to 3,322.69 and 7,116.19 is: 15,240.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.69 : 7,116.19 = 7,116.19 : x
  2. Step 2: Convert to fraction form
    3,322.69/7,116.19 = 7,116.19/x
  3. Step 3: Cross multiply
    3,322.69x = 7,116.19 × 7,116.19
  4. Step 4: Simplify right side
    3,322.69x = 50,640,124.54
  5. Step 5: Solve for x
    x = 50,640,124.54/3,322.69
  6. Step 6: Final answer
    x = 15,240.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.