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Finding the Third Proportional to 32,424 and 69,672

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Solution

The third proportional to 32,424 and 69,672 is: 149,709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,424 : 69,672 = 69,672 : x
  2. Step 2: Convert to fraction form
    32,424/69,672 = 69,672/x
  3. Step 3: Cross multiply
    32,424x = 69,672 × 69,672
  4. Step 4: Simplify right side
    32,424x = 4,854,187,584
  5. Step 5: Solve for x
    x = 4,854,187,584/32,424
  6. Step 6: Final answer
    x = 149,709.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.