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Finding the Third Proportional to 30,832 and 64,093.75

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Solution

The third proportional to 30,832 and 64,093.75 is: 133,238.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832 : 64,093.75 = 64,093.75 : x
  2. Step 2: Convert to fraction form
    30,832/64,093.75 = 64,093.75/x
  3. Step 3: Cross multiply
    30,832x = 64,093.75 × 64,093.75
  4. Step 4: Simplify right side
    30,832x = 4,108,008,789.06
  5. Step 5: Solve for x
    x = 4,108,008,789.06/30,832
  6. Step 6: Final answer
    x = 133,238.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.