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Finding the Third Proportional to 22,111 and 48,110

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Solution

The third proportional to 22,111 and 48,110 is: 104,679.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,111 : 48,110 = 48,110 : x
  2. Step 2: Convert to fraction form
    22,111/48,110 = 48,110/x
  3. Step 3: Cross multiply
    22,111x = 48,110 × 48,110
  4. Step 4: Simplify right side
    22,111x = 2,314,572,100
  5. Step 5: Solve for x
    x = 2,314,572,100/22,111
  6. Step 6: Final answer
    x = 104,679.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.