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Finding the Third Proportional to 6,800 and 8,032

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Solution

The third proportional to 6,800 and 8,032 is: 9,487.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800 : 8,032 = 8,032 : x
  2. Step 2: Convert to fraction form
    6,800/8,032 = 8,032/x
  3. Step 3: Cross multiply
    6,800x = 8,032 × 8,032
  4. Step 4: Simplify right side
    6,800x = 64,513,024
  5. Step 5: Solve for x
    x = 64,513,024/6,800
  6. Step 6: Final answer
    x = 9,487.21

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.