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Finding the Third Proportional to 43,832.50 and 67,801

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Solution

The third proportional to 43,832.50 and 67,801 is: 104,875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,832.50 : 67,801 = 67,801 : x
  2. Step 2: Convert to fraction form
    43,832.50/67,801 = 67,801/x
  3. Step 3: Cross multiply
    43,832.50x = 67,801 × 67,801
  4. Step 4: Simplify right side
    43,832.50x = 4,596,975,601
  5. Step 5: Solve for x
    x = 4,596,975,601/43,832.50
  6. Step 6: Final answer
    x = 104,875.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.