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Finding the Third Proportional to 10,504.25 and 22,601.75

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Solution

The third proportional to 10,504.25 and 22,601.75 is: 48,631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.25 : 22,601.75 = 22,601.75 : x
  2. Step 2: Convert to fraction form
    10,504.25/22,601.75 = 22,601.75/x
  3. Step 3: Cross multiply
    10,504.25x = 22,601.75 × 22,601.75
  4. Step 4: Simplify right side
    10,504.25x = 510,839,103.06
  5. Step 5: Solve for x
    x = 510,839,103.06/10,504.25
  6. Step 6: Final answer
    x = 48,631.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.