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Finding the Third Proportional to 6,297.75 and 8,670.38

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Solution

The third proportional to 6,297.75 and 8,670.38 is: 11,936.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.75 : 8,670.38 = 8,670.38 : x
  2. Step 2: Convert to fraction form
    6,297.75/8,670.38 = 8,670.38/x
  3. Step 3: Cross multiply
    6,297.75x = 8,670.38 × 8,670.38
  4. Step 4: Simplify right side
    6,297.75x = 75,175,402.64
  5. Step 5: Solve for x
    x = 75,175,402.64/6,297.75
  6. Step 6: Final answer
    x = 11,936.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.