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Finding the Third Proportional to 23,274 and 49,599

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Solution

The third proportional to 23,274 and 49,599 is: 105,699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,274 : 49,599 = 49,599 : x
  2. Step 2: Convert to fraction form
    23,274/49,599 = 49,599/x
  3. Step 3: Cross multiply
    23,274x = 49,599 × 49,599
  4. Step 4: Simplify right side
    23,274x = 2,460,060,801
  5. Step 5: Solve for x
    x = 2,460,060,801/23,274
  6. Step 6: Final answer
    x = 105,699.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.