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Finding the Third Proportional to 23,509 and 48,962

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Solution

The third proportional to 23,509 and 48,962 is: 101,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,509 : 48,962 = 48,962 : x
  2. Step 2: Convert to fraction form
    23,509/48,962 = 48,962/x
  3. Step 3: Cross multiply
    23,509x = 48,962 × 48,962
  4. Step 4: Simplify right side
    23,509x = 2,397,277,444
  5. Step 5: Solve for x
    x = 2,397,277,444/23,509
  6. Step 6: Final answer
    x = 101,972.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.