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Finding the Third Proportional to 6,902 and 7,334

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Solution

The third proportional to 6,902 and 7,334 is: 7,793.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902 : 7,334 = 7,334 : x
  2. Step 2: Convert to fraction form
    6,902/7,334 = 7,334/x
  3. Step 3: Cross multiply
    6,902x = 7,334 × 7,334
  4. Step 4: Simplify right side
    6,902x = 53,787,556
  5. Step 5: Solve for x
    x = 53,787,556/6,902
  6. Step 6: Final answer
    x = 7,793.04

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.