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Finding the Third Proportional to 32,960 and 50,496

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Solution

The third proportional to 32,960 and 50,496 is: 77,361.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,960 : 50,496 = 50,496 : x
  2. Step 2: Convert to fraction form
    32,960/50,496 = 50,496/x
  3. Step 3: Cross multiply
    32,960x = 50,496 × 50,496
  4. Step 4: Simplify right side
    32,960x = 2,549,846,016
  5. Step 5: Solve for x
    x = 2,549,846,016/32,960
  6. Step 6: Final answer
    x = 77,361.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.