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Finding the Third Proportional to 33,338 and 71,860

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Solution

The third proportional to 33,338 and 71,860 is: 154,894.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,338 : 71,860 = 71,860 : x
  2. Step 2: Convert to fraction form
    33,338/71,860 = 71,860/x
  3. Step 3: Cross multiply
    33,338x = 71,860 × 71,860
  4. Step 4: Simplify right side
    33,338x = 5,163,859,600
  5. Step 5: Solve for x
    x = 5,163,859,600/33,338
  6. Step 6: Final answer
    x = 154,894.10

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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.