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Finding the Third Proportional to 36,906.75 and 78,427.13

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Solution

The third proportional to 36,906.75 and 78,427.13 is: 166,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,906.75 : 78,427.13 = 78,427.13 : x
  2. Step 2: Convert to fraction form
    36,906.75/78,427.13 = 78,427.13/x
  3. Step 3: Cross multiply
    36,906.75x = 78,427.13 × 78,427.13
  4. Step 4: Simplify right side
    36,906.75x = 6,150,813,935.77
  5. Step 5: Solve for x
    x = 6,150,813,935.77/36,906.75
  6. Step 6: Final answer
    x = 166,658.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.