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Finding the Third Proportional to 33,266.25 and 72,698.25

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Solution

The third proportional to 33,266.25 and 72,698.25 is: 158,870.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,266.25 : 72,698.25 = 72,698.25 : x
  2. Step 2: Convert to fraction form
    33,266.25/72,698.25 = 72,698.25/x
  3. Step 3: Cross multiply
    33,266.25x = 72,698.25 × 72,698.25
  4. Step 4: Simplify right side
    33,266.25x = 5,285,035,553.06
  5. Step 5: Solve for x
    x = 5,285,035,553.06/33,266.25
  6. Step 6: Final answer
    x = 158,870.79

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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.