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Finding the Third Proportional to 22,284 and 34,616.25

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Solution

The third proportional to 22,284 and 34,616.25 is: 53,773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,284 : 34,616.25 = 34,616.25 : x
  2. Step 2: Convert to fraction form
    22,284/34,616.25 = 34,616.25/x
  3. Step 3: Cross multiply
    22,284x = 34,616.25 × 34,616.25
  4. Step 4: Simplify right side
    22,284x = 1,198,284,764.06
  5. Step 5: Solve for x
    x = 1,198,284,764.06/22,284
  6. Step 6: Final answer
    x = 53,773.32

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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.