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Finding the Third Proportional to 2,934.50 and 6,286.38

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Solution

The third proportional to 2,934.50 and 6,286.38 is: 13,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.50 : 6,286.38 = 6,286.38 : x
  2. Step 2: Convert to fraction form
    2,934.50/6,286.38 = 6,286.38/x
  3. Step 3: Cross multiply
    2,934.50x = 6,286.38 × 6,286.38
  4. Step 4: Simplify right side
    2,934.50x = 39,518,510.64
  5. Step 5: Solve for x
    x = 39,518,510.64/2,934.50
  6. Step 6: Final answer
    x = 13,466.86

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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.