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Finding the Third Proportional to 30,891.38 and 41,956.31

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Solution

The third proportional to 30,891.38 and 41,956.31 is: 56,984.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.38 : 41,956.31 = 41,956.31 : x
  2. Step 2: Convert to fraction form
    30,891.38/41,956.31 = 41,956.31/x
  3. Step 3: Cross multiply
    30,891.38x = 41,956.31 × 41,956.31
  4. Step 4: Simplify right side
    30,891.38x = 1,760,332,158.60
  5. Step 5: Solve for x
    x = 1,760,332,158.60/30,891.38
  6. Step 6: Final answer
    x = 56,984.58

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.