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Finding the Third Proportional to 22,797.75 and 34,105.50

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Solution

The third proportional to 22,797.75 and 34,105.50 is: 51,021.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,797.75 : 34,105.50 = 34,105.50 : x
  2. Step 2: Convert to fraction form
    22,797.75/34,105.50 = 34,105.50/x
  3. Step 3: Cross multiply
    22,797.75x = 34,105.50 × 34,105.50
  4. Step 4: Simplify right side
    22,797.75x = 1,163,185,130.25
  5. Step 5: Solve for x
    x = 1,163,185,130.25/22,797.75
  6. Step 6: Final answer
    x = 51,021.93

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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.