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Finding the Third Proportional to 32,264 and 68,400

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Solution

The third proportional to 32,264 and 68,400 is: 145,008.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,264 : 68,400 = 68,400 : x
  2. Step 2: Convert to fraction form
    32,264/68,400 = 68,400/x
  3. Step 3: Cross multiply
    32,264x = 68,400 × 68,400
  4. Step 4: Simplify right side
    32,264x = 4,678,560,000
  5. Step 5: Solve for x
    x = 4,678,560,000/32,264
  6. Step 6: Final answer
    x = 145,008.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.