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Finding the Third Proportional to 10,684 and 21,892

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Solution

The third proportional to 10,684 and 21,892 is: 44,857.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684 : 21,892 = 21,892 : x
  2. Step 2: Convert to fraction form
    10,684/21,892 = 21,892/x
  3. Step 3: Cross multiply
    10,684x = 21,892 × 21,892
  4. Step 4: Simplify right side
    10,684x = 479,259,664
  5. Step 5: Solve for x
    x = 479,259,664/10,684
  6. Step 6: Final answer
    x = 44,857.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.