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Finding the Third Proportional to 33,996.50 and 72,914

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Solution

The third proportional to 33,996.50 and 72,914 is: 156,382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,996.50 : 72,914 = 72,914 : x
  2. Step 2: Convert to fraction form
    33,996.50/72,914 = 72,914/x
  3. Step 3: Cross multiply
    33,996.50x = 72,914 × 72,914
  4. Step 4: Simplify right side
    33,996.50x = 5,316,451,396
  5. Step 5: Solve for x
    x = 5,316,451,396/33,996.50
  6. Step 6: Final answer
    x = 156,382.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.