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Finding the Third Proportional to 31,907 and 69,949

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Solution

The third proportional to 31,907 and 69,949 is: 153,347.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907 : 69,949 = 69,949 : x
  2. Step 2: Convert to fraction form
    31,907/69,949 = 69,949/x
  3. Step 3: Cross multiply
    31,907x = 69,949 × 69,949
  4. Step 4: Simplify right side
    31,907x = 4,892,862,601
  5. Step 5: Solve for x
    x = 4,892,862,601/31,907
  6. Step 6: Final answer
    x = 153,347.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.