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Finding the Third Proportional to 23,638 and 48,494

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Solution

The third proportional to 23,638 and 48,494 is: 99,486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,638 : 48,494 = 48,494 : x
  2. Step 2: Convert to fraction form
    23,638/48,494 = 48,494/x
  3. Step 3: Cross multiply
    23,638x = 48,494 × 48,494
  4. Step 4: Simplify right side
    23,638x = 2,351,668,036
  5. Step 5: Solve for x
    x = 2,351,668,036/23,638
  6. Step 6: Final answer
    x = 99,486.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.