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Finding the Third Proportional to 15,238 and 22,795

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Solution

The third proportional to 15,238 and 22,795 is: 34,099.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,238 : 22,795 = 22,795 : x
  2. Step 2: Convert to fraction form
    15,238/22,795 = 22,795/x
  3. Step 3: Cross multiply
    15,238x = 22,795 × 22,795
  4. Step 4: Simplify right side
    15,238x = 519,612,025
  5. Step 5: Solve for x
    x = 519,612,025/15,238
  6. Step 6: Final answer
    x = 34,099.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.