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Finding the Third Proportional to 33,510.50 and 72,169.56

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Solution

The third proportional to 33,510.50 and 72,169.56 is: 155,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,510.50 : 72,169.56 = 72,169.56 : x
  2. Step 2: Convert to fraction form
    33,510.50/72,169.56 = 72,169.56/x
  3. Step 3: Cross multiply
    33,510.50x = 72,169.56 × 72,169.56
  4. Step 4: Simplify right side
    33,510.50x = 5,208,445,751.44
  5. Step 5: Solve for x
    x = 5,208,445,751.44/33,510.50
  6. Step 6: Final answer
    x = 155,427.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.