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Finding the Third Proportional to 6,805 and 7,885

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Solution

The third proportional to 6,805 and 7,885 is: 9,136.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805 : 7,885 = 7,885 : x
  2. Step 2: Convert to fraction form
    6,805/7,885 = 7,885/x
  3. Step 3: Cross multiply
    6,805x = 7,885 × 7,885
  4. Step 4: Simplify right side
    6,805x = 62,173,225
  5. Step 5: Solve for x
    x = 62,173,225/6,805
  6. Step 6: Final answer
    x = 9,136.40

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.