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Finding the Third Proportional to 32,462 and 50,718

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Solution

The third proportional to 32,462 and 50,718 is: 79,240.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,462 : 50,718 = 50,718 : x
  2. Step 2: Convert to fraction form
    32,462/50,718 = 50,718/x
  3. Step 3: Cross multiply
    32,462x = 50,718 × 50,718
  4. Step 4: Simplify right side
    32,462x = 2,572,315,524
  5. Step 5: Solve for x
    x = 2,572,315,524/32,462
  6. Step 6: Final answer
    x = 79,240.82

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.