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Finding the Third Proportional to 18,363.38 and 40,186.97

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Solution

The third proportional to 18,363.38 and 40,186.97 is: 87,946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,363.38 : 40,186.97 = 40,186.97 : x
  2. Step 2: Convert to fraction form
    18,363.38/40,186.97 = 40,186.97/x
  3. Step 3: Cross multiply
    18,363.38x = 40,186.97 × 40,186.97
  4. Step 4: Simplify right side
    18,363.38x = 1,614,992,457.31
  5. Step 5: Solve for x
    x = 1,614,992,457.31/18,363.38
  6. Step 6: Final answer
    x = 87,946.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.