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Finding the Third Proportional to 18,236 and 27,458

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Solution

The third proportional to 18,236 and 27,458 is: 41,343.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,236 : 27,458 = 27,458 : x
  2. Step 2: Convert to fraction form
    18,236/27,458 = 27,458/x
  3. Step 3: Cross multiply
    18,236x = 27,458 × 27,458
  4. Step 4: Simplify right side
    18,236x = 753,941,764
  5. Step 5: Solve for x
    x = 753,941,764/18,236
  6. Step 6: Final answer
    x = 41,343.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.