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Finding the Third Proportional to 3,246.19 and 7,012.69

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Solution

The third proportional to 3,246.19 and 7,012.69 is: 15,149.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.19 : 7,012.69 = 7,012.69 : x
  2. Step 2: Convert to fraction form
    3,246.19/7,012.69 = 7,012.69/x
  3. Step 3: Cross multiply
    3,246.19x = 7,012.69 × 7,012.69
  4. Step 4: Simplify right side
    3,246.19x = 49,177,785.97
  5. Step 5: Solve for x
    x = 49,177,785.97/3,246.19
  6. Step 6: Final answer
    x = 15,149.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.