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Finding the Third Proportional to 33,631.88 and 71,364.38

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Solution

The third proportional to 33,631.88 and 71,364.38 is: 151,429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,631.88 : 71,364.38 = 71,364.38 : x
  2. Step 2: Convert to fraction form
    33,631.88/71,364.38 = 71,364.38/x
  3. Step 3: Cross multiply
    33,631.88x = 71,364.38 × 71,364.38
  4. Step 4: Simplify right side
    33,631.88x = 5,092,874,019.14
  5. Step 5: Solve for x
    x = 5,092,874,019.14/33,631.88
  6. Step 6: Final answer
    x = 151,429.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.