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Finding the Third Proportional to 10,274 and 22,106

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Solution

The third proportional to 10,274 and 22,106 is: 47,564.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274 : 22,106 = 22,106 : x
  2. Step 2: Convert to fraction form
    10,274/22,106 = 22,106/x
  3. Step 3: Cross multiply
    10,274x = 22,106 × 22,106
  4. Step 4: Simplify right side
    10,274x = 488,675,236
  5. Step 5: Solve for x
    x = 488,675,236/10,274
  6. Step 6: Final answer
    x = 47,564.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.