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Finding the Third Proportional to 32,324 and 67,414

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Solution

The third proportional to 32,324 and 67,414 is: 140,596.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,324 : 67,414 = 67,414 : x
  2. Step 2: Convert to fraction form
    32,324/67,414 = 67,414/x
  3. Step 3: Cross multiply
    32,324x = 67,414 × 67,414
  4. Step 4: Simplify right side
    32,324x = 4,544,647,396
  5. Step 5: Solve for x
    x = 4,544,647,396/32,324
  6. Step 6: Final answer
    x = 140,596.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.