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Finding the Third Proportional to 32,379.75 and 69,861.66

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Solution

The third proportional to 32,379.75 and 69,861.66 is: 150,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,379.75 : 69,861.66 = 69,861.66 : x
  2. Step 2: Convert to fraction form
    32,379.75/69,861.66 = 69,861.66/x
  3. Step 3: Cross multiply
    32,379.75x = 69,861.66 × 69,861.66
  4. Step 4: Simplify right side
    32,379.75x = 4,880,651,013.99
  5. Step 5: Solve for x
    x = 4,880,651,013.99/32,379.75
  6. Step 6: Final answer
    x = 150,731.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.