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Finding the Third Proportional to 33,298.88 and 71,321.06

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Solution

The third proportional to 33,298.88 and 71,321.06 is: 152,758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,298.88 : 71,321.06 = 71,321.06 : x
  2. Step 2: Convert to fraction form
    33,298.88/71,321.06 = 71,321.06/x
  3. Step 3: Cross multiply
    33,298.88x = 71,321.06 × 71,321.06
  4. Step 4: Simplify right side
    33,298.88x = 5,086,693,956.13
  5. Step 5: Solve for x
    x = 5,086,693,956.13/33,298.88
  6. Step 6: Final answer
    x = 152,758.73

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