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Finding the Third Proportional to 9,238 and 22,366

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Solution

The third proportional to 9,238 and 22,366 is: 54,150.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238 : 22,366 = 22,366 : x
  2. Step 2: Convert to fraction form
    9,238/22,366 = 22,366/x
  3. Step 3: Cross multiply
    9,238x = 22,366 × 22,366
  4. Step 4: Simplify right side
    9,238x = 500,237,956
  5. Step 5: Solve for x
    x = 500,237,956/9,238
  6. Step 6: Final answer
    x = 54,150.03

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.