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Finding the Third Proportional to 36,546.75 and 78,733.13

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Solution

The third proportional to 36,546.75 and 78,733.13 is: 169,615.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,546.75 : 78,733.13 = 78,733.13 : x
  2. Step 2: Convert to fraction form
    36,546.75/78,733.13 = 78,733.13/x
  3. Step 3: Cross multiply
    36,546.75x = 78,733.13 × 78,733.13
  4. Step 4: Simplify right side
    36,546.75x = 6,198,904,972.27
  5. Step 5: Solve for x
    x = 6,198,904,972.27/36,546.75
  6. Step 6: Final answer
    x = 169,615.77

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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.