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Finding the Third Proportional to 33,022.50 and 57,634.50

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Solution

The third proportional to 33,022.50 and 57,634.50 is: 100,590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,022.50 : 57,634.50 = 57,634.50 : x
  2. Step 2: Convert to fraction form
    33,022.50/57,634.50 = 57,634.50/x
  3. Step 3: Cross multiply
    33,022.50x = 57,634.50 × 57,634.50
  4. Step 4: Simplify right side
    33,022.50x = 3,321,735,590.25
  5. Step 5: Solve for x
    x = 3,321,735,590.25/33,022.50
  6. Step 6: Final answer
    x = 100,590.07

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These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.