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Finding the Third Proportional to 6,687.25 and 8,946.38

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Solution

The third proportional to 6,687.25 and 8,946.38 is: 11,968.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.25 : 8,946.38 = 8,946.38 : x
  2. Step 2: Convert to fraction form
    6,687.25/8,946.38 = 8,946.38/x
  3. Step 3: Cross multiply
    6,687.25x = 8,946.38 × 8,946.38
  4. Step 4: Simplify right side
    6,687.25x = 80,037,625.64
  5. Step 5: Solve for x
    x = 80,037,625.64/6,687.25
  6. Step 6: Final answer
    x = 11,968.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.