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Finding the Third Proportional to 22,287.75 and 34,622.25

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Solution

The third proportional to 22,287.75 and 34,622.25 is: 53,782.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,287.75 : 34,622.25 = 34,622.25 : x
  2. Step 2: Convert to fraction form
    22,287.75/34,622.25 = 34,622.25/x
  3. Step 3: Cross multiply
    22,287.75x = 34,622.25 × 34,622.25
  4. Step 4: Simplify right side
    22,287.75x = 1,198,700,195.06
  5. Step 5: Solve for x
    x = 1,198,700,195.06/22,287.75
  6. Step 6: Final answer
    x = 53,782.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.