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Finding the Third Proportional to 32,672 and 66,249

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Solution

The third proportional to 32,672 and 66,249 is: 134,333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,672 : 66,249 = 66,249 : x
  2. Step 2: Convert to fraction form
    32,672/66,249 = 66,249/x
  3. Step 3: Cross multiply
    32,672x = 66,249 × 66,249
  4. Step 4: Simplify right side
    32,672x = 4,388,930,001
  5. Step 5: Solve for x
    x = 4,388,930,001/32,672
  6. Step 6: Final answer
    x = 134,333.07

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.