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Finding the Third Proportional to 32,960.50 and 72,644

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Solution

The third proportional to 32,960.50 and 72,644 is: 160,105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,960.50 : 72,644 = 72,644 : x
  2. Step 2: Convert to fraction form
    32,960.50/72,644 = 72,644/x
  3. Step 3: Cross multiply
    32,960.50x = 72,644 × 72,644
  4. Step 4: Simplify right side
    32,960.50x = 5,277,150,736
  5. Step 5: Solve for x
    x = 5,277,150,736/32,960.50
  6. Step 6: Final answer
    x = 160,105.30

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.