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Finding the Third Proportional to 33,169.50 and 76,848.75

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Solution

The third proportional to 33,169.50 and 76,848.75 is: 178,047.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,169.50 : 76,848.75 = 76,848.75 : x
  2. Step 2: Convert to fraction form
    33,169.50/76,848.75 = 76,848.75/x
  3. Step 3: Cross multiply
    33,169.50x = 76,848.75 × 76,848.75
  4. Step 4: Simplify right side
    33,169.50x = 5,905,730,376.56
  5. Step 5: Solve for x
    x = 5,905,730,376.56/33,169.50
  6. Step 6: Final answer
    x = 178,047.01

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.