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Finding the Third Proportional to 20,144 and 44,023

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Solution

The third proportional to 20,144 and 44,023 is: 96,208.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,144 : 44,023 = 44,023 : x
  2. Step 2: Convert to fraction form
    20,144/44,023 = 44,023/x
  3. Step 3: Cross multiply
    20,144x = 44,023 × 44,023
  4. Step 4: Simplify right side
    20,144x = 1,938,024,529
  5. Step 5: Solve for x
    x = 1,938,024,529/20,144
  6. Step 6: Final answer
    x = 96,208.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.