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Finding the Third Proportional to 3,166.31 and 6,936.19

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Solution

The third proportional to 3,166.31 and 6,936.19 is: 15,194.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.31 : 6,936.19 = 6,936.19 : x
  2. Step 2: Convert to fraction form
    3,166.31/6,936.19 = 6,936.19/x
  3. Step 3: Cross multiply
    3,166.31x = 6,936.19 × 6,936.19
  4. Step 4: Simplify right side
    3,166.31x = 48,110,697.04
  5. Step 5: Solve for x
    x = 48,110,697.04/3,166.31
  6. Step 6: Final answer
    x = 15,194.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.