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Finding the Third Proportional to 33,073.38 and 72,570

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Solution

The third proportional to 33,073.38 and 72,570 is: 159,233.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,073.38 : 72,570 = 72,570 : x
  2. Step 2: Convert to fraction form
    33,073.38/72,570 = 72,570/x
  3. Step 3: Cross multiply
    33,073.38x = 72,570 × 72,570
  4. Step 4: Simplify right side
    33,073.38x = 5,266,404,900
  5. Step 5: Solve for x
    x = 5,266,404,900/33,073.38
  6. Step 6: Final answer
    x = 159,233.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.