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Finding the Third Proportional to 10,922.25 and 16,473.75

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Solution

The third proportional to 10,922.25 and 16,473.75 is: 24,846.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.25 : 16,473.75 = 16,473.75 : x
  2. Step 2: Convert to fraction form
    10,922.25/16,473.75 = 16,473.75/x
  3. Step 3: Cross multiply
    10,922.25x = 16,473.75 × 16,473.75
  4. Step 4: Simplify right side
    10,922.25x = 271,384,439.06
  5. Step 5: Solve for x
    x = 271,384,439.06/10,922.25
  6. Step 6: Final answer
    x = 24,846.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.