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Finding the Third Proportional to 31,164.75 and 43,729.88

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Solution

The third proportional to 31,164.75 and 43,729.88 is: 61,361.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164.75 : 43,729.88 = 43,729.88 : x
  2. Step 2: Convert to fraction form
    31,164.75/43,729.88 = 43,729.88/x
  3. Step 3: Cross multiply
    31,164.75x = 43,729.88 × 43,729.88
  4. Step 4: Simplify right side
    31,164.75x = 1,912,301,967.52
  5. Step 5: Solve for x
    x = 1,912,301,967.52/31,164.75
  6. Step 6: Final answer
    x = 61,361.06

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