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Finding the Third Proportional to 32,678 and 48,059

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Solution

The third proportional to 32,678 and 48,059 is: 70,679.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,678 : 48,059 = 48,059 : x
  2. Step 2: Convert to fraction form
    32,678/48,059 = 48,059/x
  3. Step 3: Cross multiply
    32,678x = 48,059 × 48,059
  4. Step 4: Simplify right side
    32,678x = 2,309,667,481
  5. Step 5: Solve for x
    x = 2,309,667,481/32,678
  6. Step 6: Final answer
    x = 70,679.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.