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Finding the Third Proportional to 20,273 and 44,542

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Solution

The third proportional to 20,273 and 44,542 is: 97,863.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,273 : 44,542 = 44,542 : x
  2. Step 2: Convert to fraction form
    20,273/44,542 = 44,542/x
  3. Step 3: Cross multiply
    20,273x = 44,542 × 44,542
  4. Step 4: Simplify right side
    20,273x = 1,983,989,764
  5. Step 5: Solve for x
    x = 1,983,989,764/20,273
  6. Step 6: Final answer
    x = 97,863.65

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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.