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Finding the Third Proportional to 36,379.13 and 78,073.88

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Solution

The third proportional to 36,379.13 and 78,073.88 is: 167,555.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,379.13 : 78,073.88 = 78,073.88 : x
  2. Step 2: Convert to fraction form
    36,379.13/78,073.88 = 78,073.88/x
  3. Step 3: Cross multiply
    36,379.13x = 78,073.88 × 78,073.88
  4. Step 4: Simplify right side
    36,379.13x = 6,095,529,957.52
  5. Step 5: Solve for x
    x = 6,095,529,957.52/36,379.13
  6. Step 6: Final answer
    x = 167,555.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.