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Finding the Third Proportional to 30,252 and 56,832

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Solution

The third proportional to 30,252 and 56,832 is: 106,765.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,252 : 56,832 = 56,832 : x
  2. Step 2: Convert to fraction form
    30,252/56,832 = 56,832/x
  3. Step 3: Cross multiply
    30,252x = 56,832 × 56,832
  4. Step 4: Simplify right side
    30,252x = 3,229,876,224
  5. Step 5: Solve for x
    x = 3,229,876,224/30,252
  6. Step 6: Final answer
    x = 106,765.71

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.