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Finding the Third Proportional to 6,732 and 7,344

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Solution

The third proportional to 6,732 and 7,344 is: 8,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732 : 7,344 = 7,344 : x
  2. Step 2: Convert to fraction form
    6,732/7,344 = 7,344/x
  3. Step 3: Cross multiply
    6,732x = 7,344 × 7,344
  4. Step 4: Simplify right side
    6,732x = 53,934,336
  5. Step 5: Solve for x
    x = 53,934,336/6,732
  6. Step 6: Final answer
    x = 8,011.64

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.