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Finding the Third Proportional to 18,216 and 27,844

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Solution

The third proportional to 18,216 and 27,844 is: 42,560.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,216 : 27,844 = 27,844 : x
  2. Step 2: Convert to fraction form
    18,216/27,844 = 27,844/x
  3. Step 3: Cross multiply
    18,216x = 27,844 × 27,844
  4. Step 4: Simplify right side
    18,216x = 775,288,336
  5. Step 5: Solve for x
    x = 775,288,336/18,216
  6. Step 6: Final answer
    x = 42,560.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.