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Finding the Third Proportional to 6,074 and 8,885

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Solution

The third proportional to 6,074 and 8,885 is: 12,996.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074 : 8,885 = 8,885 : x
  2. Step 2: Convert to fraction form
    6,074/8,885 = 8,885/x
  3. Step 3: Cross multiply
    6,074x = 8,885 × 8,885
  4. Step 4: Simplify right side
    6,074x = 78,943,225
  5. Step 5: Solve for x
    x = 78,943,225/6,074
  6. Step 6: Final answer
    x = 12,996.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.