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Finding the Third Proportional to 18,997 and 41,338.50

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Solution

The third proportional to 18,997 and 41,338.50 is: 89,954.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,997 : 41,338.50 = 41,338.50 : x
  2. Step 2: Convert to fraction form
    18,997/41,338.50 = 41,338.50/x
  3. Step 3: Cross multiply
    18,997x = 41,338.50 × 41,338.50
  4. Step 4: Simplify right side
    18,997x = 1,708,871,582.25
  5. Step 5: Solve for x
    x = 1,708,871,582.25/18,997
  6. Step 6: Final answer
    x = 89,954.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.