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Finding the Third Proportional to 33,411 and 72,651

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Solution

The third proportional to 33,411 and 72,651 is: 157,976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,411 : 72,651 = 72,651 : x
  2. Step 2: Convert to fraction form
    33,411/72,651 = 72,651/x
  3. Step 3: Cross multiply
    33,411x = 72,651 × 72,651
  4. Step 4: Simplify right side
    33,411x = 5,278,167,801
  5. Step 5: Solve for x
    x = 5,278,167,801/33,411
  6. Step 6: Final answer
    x = 157,976.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.