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Finding the Third Proportional to 32,817 and 67,018

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Solution

The third proportional to 32,817 and 67,018 is: 136,862.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,817 : 67,018 = 67,018 : x
  2. Step 2: Convert to fraction form
    32,817/67,018 = 67,018/x
  3. Step 3: Cross multiply
    32,817x = 67,018 × 67,018
  4. Step 4: Simplify right side
    32,817x = 4,491,412,324
  5. Step 5: Solve for x
    x = 4,491,412,324/32,817
  6. Step 6: Final answer
    x = 136,862.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.