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Finding the Third Proportional to 10,111 and 22,211

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Solution

The third proportional to 10,111 and 22,211 is: 48,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111 : 22,211 = 22,211 : x
  2. Step 2: Convert to fraction form
    10,111/22,211 = 22,211/x
  3. Step 3: Cross multiply
    10,111x = 22,211 × 22,211
  4. Step 4: Simplify right side
    10,111x = 493,328,521
  5. Step 5: Solve for x
    x = 493,328,521/10,111
  6. Step 6: Final answer
    x = 48,791.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.