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Finding the Third Proportional to 33,242.75 and 72,024

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Solution

The third proportional to 33,242.75 and 72,024 is: 156,047.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,242.75 : 72,024 = 72,024 : x
  2. Step 2: Convert to fraction form
    33,242.75/72,024 = 72,024/x
  3. Step 3: Cross multiply
    33,242.75x = 72,024 × 72,024
  4. Step 4: Simplify right side
    33,242.75x = 5,187,456,576
  5. Step 5: Solve for x
    x = 5,187,456,576/33,242.75
  6. Step 6: Final answer
    x = 156,047.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.