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Finding the Third Proportional to 23,625 and 32,099.50

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Solution

The third proportional to 23,625 and 32,099.50 is: 43,613.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,625 : 32,099.50 = 32,099.50 : x
  2. Step 2: Convert to fraction form
    23,625/32,099.50 = 32,099.50/x
  3. Step 3: Cross multiply
    23,625x = 32,099.50 × 32,099.50
  4. Step 4: Simplify right side
    23,625x = 1,030,377,900.25
  5. Step 5: Solve for x
    x = 1,030,377,900.25/23,625
  6. Step 6: Final answer
    x = 43,613.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.