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Finding the Third Proportional to 23,366.50 and 50,677

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Solution

The third proportional to 23,366.50 and 50,677 is: 109,907.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,366.50 : 50,677 = 50,677 : x
  2. Step 2: Convert to fraction form
    23,366.50/50,677 = 50,677/x
  3. Step 3: Cross multiply
    23,366.50x = 50,677 × 50,677
  4. Step 4: Simplify right side
    23,366.50x = 2,568,158,329
  5. Step 5: Solve for x
    x = 2,568,158,329/23,366.50
  6. Step 6: Final answer
    x = 109,907.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.