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Finding the Third Proportional to 32,408 and 67,062

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Solution

The third proportional to 32,408 and 67,062 is: 138,771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,408 : 67,062 = 67,062 : x
  2. Step 2: Convert to fraction form
    32,408/67,062 = 67,062/x
  3. Step 3: Cross multiply
    32,408x = 67,062 × 67,062
  4. Step 4: Simplify right side
    32,408x = 4,497,311,844
  5. Step 5: Solve for x
    x = 4,497,311,844/32,408
  6. Step 6: Final answer
    x = 138,771.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.