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Finding the Third Proportional to 20,442 and 44,110

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Solution

The third proportional to 20,442 and 44,110 is: 95,181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,442 : 44,110 = 44,110 : x
  2. Step 2: Convert to fraction form
    20,442/44,110 = 44,110/x
  3. Step 3: Cross multiply
    20,442x = 44,110 × 44,110
  4. Step 4: Simplify right side
    20,442x = 1,945,692,100
  5. Step 5: Solve for x
    x = 1,945,692,100/20,442
  6. Step 6: Final answer
    x = 95,181.10

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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.