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Finding the Third Proportional to 20,372 and 44,573

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Solution

The third proportional to 20,372 and 44,573 is: 97,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,372 : 44,573 = 44,573 : x
  2. Step 2: Convert to fraction form
    20,372/44,573 = 44,573/x
  3. Step 3: Cross multiply
    20,372x = 44,573 × 44,573
  4. Step 4: Simplify right side
    20,372x = 1,986,752,329
  5. Step 5: Solve for x
    x = 1,986,752,329/20,372
  6. Step 6: Final answer
    x = 97,523.68

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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.