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Finding the Third Proportional to 23,338.50 and 35,874

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Solution

The third proportional to 23,338.50 and 35,874 is: 55,142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,338.50 : 35,874 = 35,874 : x
  2. Step 2: Convert to fraction form
    23,338.50/35,874 = 35,874/x
  3. Step 3: Cross multiply
    23,338.50x = 35,874 × 35,874
  4. Step 4: Simplify right side
    23,338.50x = 1,286,943,876
  5. Step 5: Solve for x
    x = 1,286,943,876/23,338.50
  6. Step 6: Final answer
    x = 55,142.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.