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Finding the Third Proportional to 39,500 and 52,194

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Solution

The third proportional to 39,500 and 52,194 is: 68,967.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,500 : 52,194 = 52,194 : x
  2. Step 2: Convert to fraction form
    39,500/52,194 = 52,194/x
  3. Step 3: Cross multiply
    39,500x = 52,194 × 52,194
  4. Step 4: Simplify right side
    39,500x = 2,724,213,636
  5. Step 5: Solve for x
    x = 2,724,213,636/39,500
  6. Step 6: Final answer
    x = 68,967.43

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.