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Finding the Third Proportional to 23,217 and 50,868.75

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Solution

The third proportional to 23,217 and 50,868.75 is: 111,454.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,217 : 50,868.75 = 50,868.75 : x
  2. Step 2: Convert to fraction form
    23,217/50,868.75 = 50,868.75/x
  3. Step 3: Cross multiply
    23,217x = 50,868.75 × 50,868.75
  4. Step 4: Simplify right side
    23,217x = 2,587,629,726.56
  5. Step 5: Solve for x
    x = 2,587,629,726.56/23,217
  6. Step 6: Final answer
    x = 111,454.10

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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.