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Finding the Third Proportional to 13,441 and 18,247

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Solution

The third proportional to 13,441 and 18,247 is: 24,771.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441 : 18,247 = 18,247 : x
  2. Step 2: Convert to fraction form
    13,441/18,247 = 18,247/x
  3. Step 3: Cross multiply
    13,441x = 18,247 × 18,247
  4. Step 4: Simplify right side
    13,441x = 332,953,009
  5. Step 5: Solve for x
    x = 332,953,009/13,441
  6. Step 6: Final answer
    x = 24,771.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.