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Finding the Third Proportional to 31,833 and 69,957

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Solution

The third proportional to 31,833 and 69,957 is: 153,739.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,833 : 69,957 = 69,957 : x
  2. Step 2: Convert to fraction form
    31,833/69,957 = 69,957/x
  3. Step 3: Cross multiply
    31,833x = 69,957 × 69,957
  4. Step 4: Simplify right side
    31,833x = 4,893,981,849
  5. Step 5: Solve for x
    x = 4,893,981,849/31,833
  6. Step 6: Final answer
    x = 153,739.26

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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.