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Finding the Third Proportional to 10,043 and 21,872

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Solution

The third proportional to 10,043 and 21,872 is: 47,633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,043 : 21,872 = 21,872 : x
  2. Step 2: Convert to fraction form
    10,043/21,872 = 21,872/x
  3. Step 3: Cross multiply
    10,043x = 21,872 × 21,872
  4. Step 4: Simplify right side
    10,043x = 478,384,384
  5. Step 5: Solve for x
    x = 478,384,384/10,043
  6. Step 6: Final answer
    x = 47,633.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.