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Finding the Third Proportional to 6,902 and 10,933

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Solution

The third proportional to 6,902 and 10,933 is: 17,318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902 : 10,933 = 10,933 : x
  2. Step 2: Convert to fraction form
    6,902/10,933 = 10,933/x
  3. Step 3: Cross multiply
    6,902x = 10,933 × 10,933
  4. Step 4: Simplify right side
    6,902x = 119,530,489
  5. Step 5: Solve for x
    x = 119,530,489/6,902
  6. Step 6: Final answer
    x = 17,318.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.