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Finding the Third Proportional to 10,268 and 22,172

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Solution

The third proportional to 10,268 and 22,172 is: 47,876.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,268 : 22,172 = 22,172 : x
  2. Step 2: Convert to fraction form
    10,268/22,172 = 22,172/x
  3. Step 3: Cross multiply
    10,268x = 22,172 × 22,172
  4. Step 4: Simplify right side
    10,268x = 491,597,584
  5. Step 5: Solve for x
    x = 491,597,584/10,268
  6. Step 6: Final answer
    x = 47,876.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.