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Finding the Third Proportional to 15,268 and 19,126

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Solution

The third proportional to 15,268 and 19,126 is: 23,958.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,268 : 19,126 = 19,126 : x
  2. Step 2: Convert to fraction form
    15,268/19,126 = 19,126/x
  3. Step 3: Cross multiply
    15,268x = 19,126 × 19,126
  4. Step 4: Simplify right side
    15,268x = 365,803,876
  5. Step 5: Solve for x
    x = 365,803,876/15,268
  6. Step 6: Final answer
    x = 23,958.86

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.