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Finding the Third Proportional to 22,569.75 and 33,855.75

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Solution

The third proportional to 22,569.75 and 33,855.75 is: 50,785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,569.75 : 33,855.75 = 33,855.75 : x
  2. Step 2: Convert to fraction form
    22,569.75/33,855.75 = 33,855.75/x
  3. Step 3: Cross multiply
    22,569.75x = 33,855.75 × 33,855.75
  4. Step 4: Simplify right side
    22,569.75x = 1,146,211,808.06
  5. Step 5: Solve for x
    x = 1,146,211,808.06/22,569.75
  6. Step 6: Final answer
    x = 50,785.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.