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Finding the Third Proportional to 7,954 and 18,382

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Solution

The third proportional to 7,954 and 18,382 is: 42,481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954 : 18,382 = 18,382 : x
  2. Step 2: Convert to fraction form
    7,954/18,382 = 18,382/x
  3. Step 3: Cross multiply
    7,954x = 18,382 × 18,382
  4. Step 4: Simplify right side
    7,954x = 337,897,924
  5. Step 5: Solve for x
    x = 337,897,924/7,954
  6. Step 6: Final answer
    x = 42,481.51

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.