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Finding the Third Proportional to 31,596.75 and 43,293.38

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Solution

The third proportional to 31,596.75 and 43,293.38 is: 59,319.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,596.75 : 43,293.38 = 43,293.38 : x
  2. Step 2: Convert to fraction form
    31,596.75/43,293.38 = 43,293.38/x
  3. Step 3: Cross multiply
    31,596.75x = 43,293.38 × 43,293.38
  4. Step 4: Simplify right side
    31,596.75x = 1,874,316,318.89
  5. Step 5: Solve for x
    x = 1,874,316,318.89/31,596.75
  6. Step 6: Final answer
    x = 59,319.91

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.