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Finding the Third Proportional to 40,213.50 and 59,149

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Solution

The third proportional to 40,213.50 and 59,149 is: 87,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,213.50 : 59,149 = 59,149 : x
  2. Step 2: Convert to fraction form
    40,213.50/59,149 = 59,149/x
  3. Step 3: Cross multiply
    40,213.50x = 59,149 × 59,149
  4. Step 4: Simplify right side
    40,213.50x = 3,498,604,201
  5. Step 5: Solve for x
    x = 3,498,604,201/40,213.50
  6. Step 6: Final answer
    x = 87,000.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.