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Finding the Third Proportional to 18,138.09 and 27,728.16

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Solution

The third proportional to 18,138.09 and 27,728.16 is: 42,388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,138.09 : 27,728.16 = 27,728.16 : x
  2. Step 2: Convert to fraction form
    18,138.09/27,728.16 = 27,728.16/x
  3. Step 3: Cross multiply
    18,138.09x = 27,728.16 × 27,728.16
  4. Step 4: Simplify right side
    18,138.09x = 768,850,649.02
  5. Step 5: Solve for x
    x = 768,850,649.02/18,138.09
  6. Step 6: Final answer
    x = 42,388.72

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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.