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Finding the Third Proportional to 11,370 and 24,845

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Solution

The third proportional to 11,370 and 24,845 is: 54,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,370 : 24,845 = 24,845 : x
  2. Step 2: Convert to fraction form
    11,370/24,845 = 24,845/x
  3. Step 3: Cross multiply
    11,370x = 24,845 × 24,845
  4. Step 4: Simplify right side
    11,370x = 617,274,025
  5. Step 5: Solve for x
    x = 617,274,025/11,370
  6. Step 6: Final answer
    x = 54,289.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.