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Finding the Third Proportional to 18,219 and 27,274.50

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Solution

The third proportional to 18,219 and 27,274.50 is: 40,830.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,219 : 27,274.50 = 27,274.50 : x
  2. Step 2: Convert to fraction form
    18,219/27,274.50 = 27,274.50/x
  3. Step 3: Cross multiply
    18,219x = 27,274.50 × 27,274.50
  4. Step 4: Simplify right side
    18,219x = 743,898,350.25
  5. Step 5: Solve for x
    x = 743,898,350.25/18,219
  6. Step 6: Final answer
    x = 40,830.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.