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Finding the Third Proportional to 18,807.75 and 39,190.50

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Solution

The third proportional to 18,807.75 and 39,190.50 is: 81,662.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,807.75 : 39,190.50 = 39,190.50 : x
  2. Step 2: Convert to fraction form
    18,807.75/39,190.50 = 39,190.50/x
  3. Step 3: Cross multiply
    18,807.75x = 39,190.50 × 39,190.50
  4. Step 4: Simplify right side
    18,807.75x = 1,535,895,290.25
  5. Step 5: Solve for x
    x = 1,535,895,290.25/18,807.75
  6. Step 6: Final answer
    x = 81,662.89

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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.