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Finding the Third Proportional to 33,218 and 71,740

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Solution

The third proportional to 33,218 and 71,740 is: 154,934.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,218 : 71,740 = 71,740 : x
  2. Step 2: Convert to fraction form
    33,218/71,740 = 71,740/x
  3. Step 3: Cross multiply
    33,218x = 71,740 × 71,740
  4. Step 4: Simplify right side
    33,218x = 5,146,627,600
  5. Step 5: Solve for x
    x = 5,146,627,600/33,218
  6. Step 6: Final answer
    x = 154,934.90

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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.