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Finding the Third Proportional to 33,675.75 and 73,244.25

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Solution

The third proportional to 33,675.75 and 73,244.25 is: 159,305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,675.75 : 73,244.25 = 73,244.25 : x
  2. Step 2: Convert to fraction form
    33,675.75/73,244.25 = 73,244.25/x
  3. Step 3: Cross multiply
    33,675.75x = 73,244.25 × 73,244.25
  4. Step 4: Simplify right side
    33,675.75x = 5,364,720,158.06
  5. Step 5: Solve for x
    x = 5,364,720,158.06/33,675.75
  6. Step 6: Final answer
    x = 159,305.14

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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.