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Finding the Third Proportional to 18,086.25 and 37,558.50

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Solution

The third proportional to 18,086.25 and 37,558.50 is: 77,995.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,086.25 : 37,558.50 = 37,558.50 : x
  2. Step 2: Convert to fraction form
    18,086.25/37,558.50 = 37,558.50/x
  3. Step 3: Cross multiply
    18,086.25x = 37,558.50 × 37,558.50
  4. Step 4: Simplify right side
    18,086.25x = 1,410,640,922.25
  5. Step 5: Solve for x
    x = 1,410,640,922.25/18,086.25
  6. Step 6: Final answer
    x = 77,995.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.