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Finding the Third Proportional to 5,285.25 and 6,951.38

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Solution

The third proportional to 5,285.25 and 6,951.38 is: 9,142.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.25 : 6,951.38 = 6,951.38 : x
  2. Step 2: Convert to fraction form
    5,285.25/6,951.38 = 6,951.38/x
  3. Step 3: Cross multiply
    5,285.25x = 6,951.38 × 6,951.38
  4. Step 4: Simplify right side
    5,285.25x = 48,321,614.39
  5. Step 5: Solve for x
    x = 48,321,614.39/5,285.25
  6. Step 6: Final answer
    x = 9,142.73

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.