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Finding the Third Proportional to 32,691 and 48,906

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Solution

The third proportional to 32,691 and 48,906 is: 73,163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,691 : 48,906 = 48,906 : x
  2. Step 2: Convert to fraction form
    32,691/48,906 = 48,906/x
  3. Step 3: Cross multiply
    32,691x = 48,906 × 48,906
  4. Step 4: Simplify right side
    32,691x = 2,391,796,836
  5. Step 5: Solve for x
    x = 2,391,796,836/32,691
  6. Step 6: Final answer
    x = 73,163.77

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