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Finding the Third Proportional to 2,938.31 and 6,286.68

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Solution

The third proportional to 2,938.31 and 6,286.68 is: 13,450.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.31 : 6,286.68 = 6,286.68 : x
  2. Step 2: Convert to fraction form
    2,938.31/6,286.68 = 6,286.68/x
  3. Step 3: Cross multiply
    2,938.31x = 6,286.68 × 6,286.68
  4. Step 4: Simplify right side
    2,938.31x = 39,522,292.38
  5. Step 5: Solve for x
    x = 39,522,292.38/2,938.31
  6. Step 6: Final answer
    x = 13,450.70

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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.