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Finding the Third Proportional to 11,286 and 24,108

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Solution

The third proportional to 11,286 and 24,108 is: 51,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,286 : 24,108 = 24,108 : x
  2. Step 2: Convert to fraction form
    11,286/24,108 = 24,108/x
  3. Step 3: Cross multiply
    11,286x = 24,108 × 24,108
  4. Step 4: Simplify right side
    11,286x = 581,195,664
  5. Step 5: Solve for x
    x = 581,195,664/11,286
  6. Step 6: Final answer
    x = 51,497.05

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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.