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Finding the Third Proportional to 33,488 and 73,792

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Solution

The third proportional to 33,488 and 73,792 is: 162,603.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,488 : 73,792 = 73,792 : x
  2. Step 2: Convert to fraction form
    33,488/73,792 = 73,792/x
  3. Step 3: Cross multiply
    33,488x = 73,792 × 73,792
  4. Step 4: Simplify right side
    33,488x = 5,445,259,264
  5. Step 5: Solve for x
    x = 5,445,259,264/33,488
  6. Step 6: Final answer
    x = 162,603.30

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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.