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Finding the Third Proportional to 42,832 and 56,832

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Solution

The third proportional to 42,832 and 56,832 is: 75,408.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,832 : 56,832 = 56,832 : x
  2. Step 2: Convert to fraction form
    42,832/56,832 = 56,832/x
  3. Step 3: Cross multiply
    42,832x = 56,832 × 56,832
  4. Step 4: Simplify right side
    42,832x = 3,229,876,224
  5. Step 5: Solve for x
    x = 3,229,876,224/42,832
  6. Step 6: Final answer
    x = 75,408.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.