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Finding the Third Proportional to 23,657 and 50,901

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Solution

The third proportional to 23,657 and 50,901 is: 109,519.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657 : 50,901 = 50,901 : x
  2. Step 2: Convert to fraction form
    23,657/50,901 = 50,901/x
  3. Step 3: Cross multiply
    23,657x = 50,901 × 50,901
  4. Step 4: Simplify right side
    23,657x = 2,590,911,801
  5. Step 5: Solve for x
    x = 2,590,911,801/23,657
  6. Step 6: Final answer
    x = 109,519.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.