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Finding the Third Proportional to 33,972.75 and 73,402.88

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Solution

The third proportional to 33,972.75 and 73,402.88 is: 158,597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,972.75 : 73,402.88 = 73,402.88 : x
  2. Step 2: Convert to fraction form
    33,972.75/73,402.88 = 73,402.88/x
  3. Step 3: Cross multiply
    33,972.75x = 73,402.88 × 73,402.88
  4. Step 4: Simplify right side
    33,972.75x = 5,387,982,058.27
  5. Step 5: Solve for x
    x = 5,387,982,058.27/33,972.75
  6. Step 6: Final answer
    x = 158,597.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.