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Finding the Third Proportional to 33,981.56 and 79,952.06

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Solution

The third proportional to 33,981.56 and 79,952.06 is: 188,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,981.56 : 79,952.06 = 79,952.06 : x
  2. Step 2: Convert to fraction form
    33,981.56/79,952.06 = 79,952.06/x
  3. Step 3: Cross multiply
    33,981.56x = 79,952.06 × 79,952.06
  4. Step 4: Simplify right side
    33,981.56x = 6,392,332,298.00
  5. Step 5: Solve for x
    x = 6,392,332,298.00/33,981.56
  6. Step 6: Final answer
    x = 188,111.78

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.