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Finding the Third Proportional to 32,863.50 and 71,733

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Solution

The third proportional to 32,863.50 and 71,733 is: 156,575.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,863.50 : 71,733 = 71,733 : x
  2. Step 2: Convert to fraction form
    32,863.50/71,733 = 71,733/x
  3. Step 3: Cross multiply
    32,863.50x = 71,733 × 71,733
  4. Step 4: Simplify right side
    32,863.50x = 5,145,623,289
  5. Step 5: Solve for x
    x = 5,145,623,289/32,863.50
  6. Step 6: Final answer
    x = 156,575.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.