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Finding the Third Proportional to 10,808.44 and 19,224.21

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Solution

The third proportional to 10,808.44 and 19,224.21 is: 34,192.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.44 : 19,224.21 = 19,224.21 : x
  2. Step 2: Convert to fraction form
    10,808.44/19,224.21 = 19,224.21/x
  3. Step 3: Cross multiply
    10,808.44x = 19,224.21 × 19,224.21
  4. Step 4: Simplify right side
    10,808.44x = 369,570,286.17
  5. Step 5: Solve for x
    x = 369,570,286.17/10,808.44
  6. Step 6: Final answer
    x = 34,192.76

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.