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Finding the Third Proportional to 31,832 and 70,017

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Solution

The third proportional to 31,832 and 70,017 is: 154,007.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,832 : 70,017 = 70,017 : x
  2. Step 2: Convert to fraction form
    31,832/70,017 = 70,017/x
  3. Step 3: Cross multiply
    31,832x = 70,017 × 70,017
  4. Step 4: Simplify right side
    31,832x = 4,902,380,289
  5. Step 5: Solve for x
    x = 4,902,380,289/31,832
  6. Step 6: Final answer
    x = 154,007.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.