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Finding the Third Proportional to 23,694 and 34,677

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Solution

The third proportional to 23,694 and 34,677 is: 50,751.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,694 : 34,677 = 34,677 : x
  2. Step 2: Convert to fraction form
    23,694/34,677 = 34,677/x
  3. Step 3: Cross multiply
    23,694x = 34,677 × 34,677
  4. Step 4: Simplify right side
    23,694x = 1,202,494,329
  5. Step 5: Solve for x
    x = 1,202,494,329/23,694
  6. Step 6: Final answer
    x = 50,751.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.