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Finding the Third Proportional to 33,676.38 and 72,956.95

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Solution

The third proportional to 33,676.38 and 72,956.95 is: 158,054.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,676.38 : 72,956.95 = 72,956.95 : x
  2. Step 2: Convert to fraction form
    33,676.38/72,956.95 = 72,956.95/x
  3. Step 3: Cross multiply
    33,676.38x = 72,956.95 × 72,956.95
  4. Step 4: Simplify right side
    33,676.38x = 5,322,717,009.28
  5. Step 5: Solve for x
    x = 5,322,717,009.28/33,676.38
  6. Step 6: Final answer
    x = 158,054.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.