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Finding the Third Proportional to 18,523.69 and 39,963.38

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Solution

The third proportional to 18,523.69 and 39,963.38 is: 86,217.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,523.69 : 39,963.38 = 39,963.38 : x
  2. Step 2: Convert to fraction form
    18,523.69/39,963.38 = 39,963.38/x
  3. Step 3: Cross multiply
    18,523.69x = 39,963.38 × 39,963.38
  4. Step 4: Simplify right side
    18,523.69x = 1,597,071,341.39
  5. Step 5: Solve for x
    x = 1,597,071,341.39/18,523.69
  6. Step 6: Final answer
    x = 86,217.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.