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Finding the Third Proportional to 10,274 and 22,009

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Solution

The third proportional to 10,274 and 22,009 is: 47,147.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274 : 22,009 = 22,009 : x
  2. Step 2: Convert to fraction form
    10,274/22,009 = 22,009/x
  3. Step 3: Cross multiply
    10,274x = 22,009 × 22,009
  4. Step 4: Simplify right side
    10,274x = 484,396,081
  5. Step 5: Solve for x
    x = 484,396,081/10,274
  6. Step 6: Final answer
    x = 47,147.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.