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Finding the Third Proportional to 32,671 and 48,876

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Solution

The third proportional to 32,671 and 48,876 is: 73,118.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,671 : 48,876 = 48,876 : x
  2. Step 2: Convert to fraction form
    32,671/48,876 = 48,876/x
  3. Step 3: Cross multiply
    32,671x = 48,876 × 48,876
  4. Step 4: Simplify right side
    32,671x = 2,388,863,376
  5. Step 5: Solve for x
    x = 2,388,863,376/32,671
  6. Step 6: Final answer
    x = 73,118.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.