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Finding the Third Proportional to 18,201.38 and 38,588.63

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Solution

The third proportional to 18,201.38 and 38,588.63 is: 81,811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,201.38 : 38,588.63 = 38,588.63 : x
  2. Step 2: Convert to fraction form
    18,201.38/38,588.63 = 38,588.63/x
  3. Step 3: Cross multiply
    18,201.38x = 38,588.63 × 38,588.63
  4. Step 4: Simplify right side
    18,201.38x = 1,489,081,979.39
  5. Step 5: Solve for x
    x = 1,489,081,979.39/18,201.38
  6. Step 6: Final answer
    x = 81,811.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.