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Finding the Third Proportional to 9,138 and 22,233

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Solution

The third proportional to 9,138 and 22,233 is: 54,093.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138 : 22,233 = 22,233 : x
  2. Step 2: Convert to fraction form
    9,138/22,233 = 22,233/x
  3. Step 3: Cross multiply
    9,138x = 22,233 × 22,233
  4. Step 4: Simplify right side
    9,138x = 494,306,289
  5. Step 5: Solve for x
    x = 494,306,289/9,138
  6. Step 6: Final answer
    x = 54,093.49

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.