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Finding the Third Proportional to 33,858.50 and 72,920.25

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Solution

The third proportional to 33,858.50 and 72,920.25 is: 157,046.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,858.50 : 72,920.25 = 72,920.25 : x
  2. Step 2: Convert to fraction form
    33,858.50/72,920.25 = 72,920.25/x
  3. Step 3: Cross multiply
    33,858.50x = 72,920.25 × 72,920.25
  4. Step 4: Simplify right side
    33,858.50x = 5,317,362,860.06
  5. Step 5: Solve for x
    x = 5,317,362,860.06/33,858.50
  6. Step 6: Final answer
    x = 157,046.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.