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Finding the Third Proportional to 3,246.84 and 7,006.31

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Solution

The third proportional to 3,246.84 and 7,006.31 is: 15,118.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.84 : 7,006.31 = 7,006.31 : x
  2. Step 2: Convert to fraction form
    3,246.84/7,006.31 = 7,006.31/x
  3. Step 3: Cross multiply
    3,246.84x = 7,006.31 × 7,006.31
  4. Step 4: Simplify right side
    3,246.84x = 49,088,414.85
  5. Step 5: Solve for x
    x = 49,088,414.85/3,246.84
  6. Step 6: Final answer
    x = 15,118.81

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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.