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Finding the Third Proportional to 6,902 and 9,497

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Solution

The third proportional to 6,902 and 9,497 is: 13,067.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902 : 9,497 = 9,497 : x
  2. Step 2: Convert to fraction form
    6,902/9,497 = 9,497/x
  3. Step 3: Cross multiply
    6,902x = 9,497 × 9,497
  4. Step 4: Simplify right side
    6,902x = 90,193,009
  5. Step 5: Solve for x
    x = 90,193,009/6,902
  6. Step 6: Final answer
    x = 13,067.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.