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Finding the Third Proportional to 20,372 and 49,307

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Solution

The third proportional to 20,372 and 49,307 is: 119,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,372 : 49,307 = 49,307 : x
  2. Step 2: Convert to fraction form
    20,372/49,307 = 49,307/x
  3. Step 3: Cross multiply
    20,372x = 49,307 × 49,307
  4. Step 4: Simplify right side
    20,372x = 2,431,180,249
  5. Step 5: Solve for x
    x = 2,431,180,249/20,372
  6. Step 6: Final answer
    x = 119,339.30

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.