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Finding the Third Proportional to 32,911.50 and 67,381

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Solution

The third proportional to 32,911.50 and 67,381 is: 137,951.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,911.50 : 67,381 = 67,381 : x
  2. Step 2: Convert to fraction form
    32,911.50/67,381 = 67,381/x
  3. Step 3: Cross multiply
    32,911.50x = 67,381 × 67,381
  4. Step 4: Simplify right side
    32,911.50x = 4,540,199,161
  5. Step 5: Solve for x
    x = 4,540,199,161/32,911.50
  6. Step 6: Final answer
    x = 137,951.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.