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Finding the Third Proportional to 17,867.25 and 33,223.50

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Solution

The third proportional to 17,867.25 and 33,223.50 is: 61,777.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,867.25 : 33,223.50 = 33,223.50 : x
  2. Step 2: Convert to fraction form
    17,867.25/33,223.50 = 33,223.50/x
  3. Step 3: Cross multiply
    17,867.25x = 33,223.50 × 33,223.50
  4. Step 4: Simplify right side
    17,867.25x = 1,103,800,952.25
  5. Step 5: Solve for x
    x = 1,103,800,952.25/17,867.25
  6. Step 6: Final answer
    x = 61,777.89

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.