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Finding the Third Proportional to 36,217.31 and 57,629.06

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Solution

The third proportional to 36,217.31 and 57,629.06 is: 91,699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,217.31 : 57,629.06 = 57,629.06 : x
  2. Step 2: Convert to fraction form
    36,217.31/57,629.06 = 57,629.06/x
  3. Step 3: Cross multiply
    36,217.31x = 57,629.06 × 57,629.06
  4. Step 4: Simplify right side
    36,217.31x = 3,321,108,844.63
  5. Step 5: Solve for x
    x = 3,321,108,844.63/36,217.31
  6. Step 6: Final answer
    x = 91,699.48

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.