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Finding the Third Proportional to 31,081.22 and 65,858.06

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Solution

The third proportional to 31,081.22 and 65,858.06 is: 139,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,081.22 : 65,858.06 = 65,858.06 : x
  2. Step 2: Convert to fraction form
    31,081.22/65,858.06 = 65,858.06/x
  3. Step 3: Cross multiply
    31,081.22x = 65,858.06 × 65,858.06
  4. Step 4: Simplify right side
    31,081.22x = 4,337,284,396.25
  5. Step 5: Solve for x
    x = 4,337,284,396.25/31,081.22
  6. Step 6: Final answer
    x = 139,546.79

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.