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Finding the Third Proportional to 20,089.50 and 43,635

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Solution

The third proportional to 20,089.50 and 43,635 is: 94,776.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,089.50 : 43,635 = 43,635 : x
  2. Step 2: Convert to fraction form
    20,089.50/43,635 = 43,635/x
  3. Step 3: Cross multiply
    20,089.50x = 43,635 × 43,635
  4. Step 4: Simplify right side
    20,089.50x = 1,904,013,225
  5. Step 5: Solve for x
    x = 1,904,013,225/20,089.50
  6. Step 6: Final answer
    x = 94,776.54

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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.