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Finding the Third Proportional to 23,117 and 34,839

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Solution

The third proportional to 23,117 and 34,839 is: 52,504.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117 : 34,839 = 34,839 : x
  2. Step 2: Convert to fraction form
    23,117/34,839 = 34,839/x
  3. Step 3: Cross multiply
    23,117x = 34,839 × 34,839
  4. Step 4: Simplify right side
    23,117x = 1,213,755,921
  5. Step 5: Solve for x
    x = 1,213,755,921/23,117
  6. Step 6: Final answer
    x = 52,504.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.