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Finding the Third Proportional to 12,224.75 and 21,904.75

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Solution

The third proportional to 12,224.75 and 21,904.75 is: 39,249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.75 : 21,904.75 = 21,904.75 : x
  2. Step 2: Convert to fraction form
    12,224.75/21,904.75 = 21,904.75/x
  3. Step 3: Cross multiply
    12,224.75x = 21,904.75 × 21,904.75
  4. Step 4: Simplify right side
    12,224.75x = 479,818,072.56
  5. Step 5: Solve for x
    x = 479,818,072.56/12,224.75
  6. Step 6: Final answer
    x = 39,249.72

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These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.