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Finding the Third Proportional to 33,060 and 72,679.50

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Solution

The third proportional to 33,060 and 72,679.50 is: 159,779.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,060 : 72,679.50 = 72,679.50 : x
  2. Step 2: Convert to fraction form
    33,060/72,679.50 = 72,679.50/x
  3. Step 3: Cross multiply
    33,060x = 72,679.50 × 72,679.50
  4. Step 4: Simplify right side
    33,060x = 5,282,309,720.25
  5. Step 5: Solve for x
    x = 5,282,309,720.25/33,060
  6. Step 6: Final answer
    x = 159,779.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.