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Finding the Third Proportional to 23,039 and 48,398

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Solution

The third proportional to 23,039 and 48,398 is: 101,669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,039 : 48,398 = 48,398 : x
  2. Step 2: Convert to fraction form
    23,039/48,398 = 48,398/x
  3. Step 3: Cross multiply
    23,039x = 48,398 × 48,398
  4. Step 4: Simplify right side
    23,039x = 2,342,366,404
  5. Step 5: Solve for x
    x = 2,342,366,404/23,039
  6. Step 6: Final answer
    x = 101,669.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.