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Finding the Third Proportional to 8,302 and 17,966

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Solution

The third proportional to 8,302 and 17,966 is: 38,879.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302 : 17,966 = 17,966 : x
  2. Step 2: Convert to fraction form
    8,302/17,966 = 17,966/x
  3. Step 3: Cross multiply
    8,302x = 17,966 × 17,966
  4. Step 4: Simplify right side
    8,302x = 322,777,156
  5. Step 5: Solve for x
    x = 322,777,156/8,302
  6. Step 6: Final answer
    x = 38,879.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.