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Finding the Third Proportional to 11,474 and 16,243

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Solution

The third proportional to 11,474 and 16,243 is: 22,994.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474 : 16,243 = 16,243 : x
  2. Step 2: Convert to fraction form
    11,474/16,243 = 16,243/x
  3. Step 3: Cross multiply
    11,474x = 16,243 × 16,243
  4. Step 4: Simplify right side
    11,474x = 263,835,049
  5. Step 5: Solve for x
    x = 263,835,049/11,474
  6. Step 6: Final answer
    x = 22,994.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.