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Finding the Third Proportional to 10,383.19 and 20,872.69

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Solution

The third proportional to 10,383.19 and 20,872.69 is: 41,959.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.19 : 20,872.69 = 20,872.69 : x
  2. Step 2: Convert to fraction form
    10,383.19/20,872.69 = 20,872.69/x
  3. Step 3: Cross multiply
    10,383.19x = 20,872.69 × 20,872.69
  4. Step 4: Simplify right side
    10,383.19x = 435,669,083.47
  5. Step 5: Solve for x
    x = 435,669,083.47/10,383.19
  6. Step 6: Final answer
    x = 41,959.09

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.