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Finding the Third Proportional to 7,441 and 16,238

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Solution

The third proportional to 7,441 and 16,238 is: 35,435.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441 : 16,238 = 16,238 : x
  2. Step 2: Convert to fraction form
    7,441/16,238 = 16,238/x
  3. Step 3: Cross multiply
    7,441x = 16,238 × 16,238
  4. Step 4: Simplify right side
    7,441x = 263,672,644
  5. Step 5: Solve for x
    x = 263,672,644/7,441
  6. Step 6: Final answer
    x = 35,435.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.