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Finding the Third Proportional to 18,944.16 and 27,583.31

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Solution

The third proportional to 18,944.16 and 27,583.31 is: 40,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,944.16 : 27,583.31 = 27,583.31 : x
  2. Step 2: Convert to fraction form
    18,944.16/27,583.31 = 27,583.31/x
  3. Step 3: Cross multiply
    18,944.16x = 27,583.31 × 27,583.31
  4. Step 4: Simplify right side
    18,944.16x = 760,839,128.47
  5. Step 5: Solve for x
    x = 760,839,128.47/18,944.16
  6. Step 6: Final answer
    x = 40,162.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.