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Finding the Third Proportional to 3,118.50 and 6,414.19

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Solution

The third proportional to 3,118.50 and 6,414.19 is: 13,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.50 : 6,414.19 = 6,414.19 : x
  2. Step 2: Convert to fraction form
    3,118.50/6,414.19 = 6,414.19/x
  3. Step 3: Cross multiply
    3,118.50x = 6,414.19 × 6,414.19
  4. Step 4: Simplify right side
    3,118.50x = 41,141,801.29
  5. Step 5: Solve for x
    x = 41,141,801.29/3,118.50
  6. Step 6: Final answer
    x = 13,192.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.