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Finding the Third Proportional to 32,144.50 and 48,185

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Solution

The third proportional to 32,144.50 and 48,185 is: 72,229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,144.50 : 48,185 = 48,185 : x
  2. Step 2: Convert to fraction form
    32,144.50/48,185 = 48,185/x
  3. Step 3: Cross multiply
    32,144.50x = 48,185 × 48,185
  4. Step 4: Simplify right side
    32,144.50x = 2,321,794,225
  5. Step 5: Solve for x
    x = 2,321,794,225/32,144.50
  6. Step 6: Final answer
    x = 72,229.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.