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Finding the Third Proportional to 19,251 and 41,107.50

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Solution

The third proportional to 19,251 and 41,107.50 is: 87,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,251 : 41,107.50 = 41,107.50 : x
  2. Step 2: Convert to fraction form
    19,251/41,107.50 = 41,107.50/x
  3. Step 3: Cross multiply
    19,251x = 41,107.50 × 41,107.50
  4. Step 4: Simplify right side
    19,251x = 1,689,826,556.25
  5. Step 5: Solve for x
    x = 1,689,826,556.25/19,251
  6. Step 6: Final answer
    x = 87,778.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.