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Finding the Third Proportional to 31,036 and 66,993

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Solution

The third proportional to 31,036 and 66,993 is: 144,608.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,036 : 66,993 = 66,993 : x
  2. Step 2: Convert to fraction form
    31,036/66,993 = 66,993/x
  3. Step 3: Cross multiply
    31,036x = 66,993 × 66,993
  4. Step 4: Simplify right side
    31,036x = 4,488,062,049
  5. Step 5: Solve for x
    x = 4,488,062,049/31,036
  6. Step 6: Final answer
    x = 144,608.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.