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Finding the Third Proportional to 32,944 and 68,084

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Solution

The third proportional to 32,944 and 68,084 is: 140,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,944 : 68,084 = 68,084 : x
  2. Step 2: Convert to fraction form
    32,944/68,084 = 68,084/x
  3. Step 3: Cross multiply
    32,944x = 68,084 × 68,084
  4. Step 4: Simplify right side
    32,944x = 4,635,431,056
  5. Step 5: Solve for x
    x = 4,635,431,056/32,944
  6. Step 6: Final answer
    x = 140,706.38

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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.