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Finding the Third Proportional to 23,177.50 and 50,867

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Solution

The third proportional to 23,177.50 and 50,867 is: 111,636.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,177.50 : 50,867 = 50,867 : x
  2. Step 2: Convert to fraction form
    23,177.50/50,867 = 50,867/x
  3. Step 3: Cross multiply
    23,177.50x = 50,867 × 50,867
  4. Step 4: Simplify right side
    23,177.50x = 2,587,451,689
  5. Step 5: Solve for x
    x = 2,587,451,689/23,177.50
  6. Step 6: Final answer
    x = 111,636.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.