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Finding the Third Proportional to 33,089.50 and 70,796

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Solution

The third proportional to 33,089.50 and 70,796 is: 151,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,089.50 : 70,796 = 70,796 : x
  2. Step 2: Convert to fraction form
    33,089.50/70,796 = 70,796/x
  3. Step 3: Cross multiply
    33,089.50x = 70,796 × 70,796
  4. Step 4: Simplify right side
    33,089.50x = 5,012,073,616
  5. Step 5: Solve for x
    x = 5,012,073,616/33,089.50
  6. Step 6: Final answer
    x = 151,470.21

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.