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Finding the Third Proportional to 19,942.50 and 43,187

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Solution

The third proportional to 19,942.50 and 43,187 is: 93,524.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,942.50 : 43,187 = 43,187 : x
  2. Step 2: Convert to fraction form
    19,942.50/43,187 = 43,187/x
  3. Step 3: Cross multiply
    19,942.50x = 43,187 × 43,187
  4. Step 4: Simplify right side
    19,942.50x = 1,865,116,969
  5. Step 5: Solve for x
    x = 1,865,116,969/19,942.50
  6. Step 6: Final answer
    x = 93,524.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.