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Finding the Third Proportional to 31,702 and 44,326

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Solution

The third proportional to 31,702 and 44,326 is: 61,976.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,702 : 44,326 = 44,326 : x
  2. Step 2: Convert to fraction form
    31,702/44,326 = 44,326/x
  3. Step 3: Cross multiply
    31,702x = 44,326 × 44,326
  4. Step 4: Simplify right side
    31,702x = 1,964,794,276
  5. Step 5: Solve for x
    x = 1,964,794,276/31,702
  6. Step 6: Final answer
    x = 61,976.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.