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Finding the Third Proportional to 15,277 and 22,885

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Solution

The third proportional to 15,277 and 22,885 is: 34,281.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,277 : 22,885 = 22,885 : x
  2. Step 2: Convert to fraction form
    15,277/22,885 = 22,885/x
  3. Step 3: Cross multiply
    15,277x = 22,885 × 22,885
  4. Step 4: Simplify right side
    15,277x = 523,723,225
  5. Step 5: Solve for x
    x = 523,723,225/15,277
  6. Step 6: Final answer
    x = 34,281.81

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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.