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Finding the Third Proportional to 31,956.38 and 50,020.50

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Solution

The third proportional to 31,956.38 and 50,020.50 is: 78,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,956.38 : 50,020.50 = 50,020.50 : x
  2. Step 2: Convert to fraction form
    31,956.38/50,020.50 = 50,020.50/x
  3. Step 3: Cross multiply
    31,956.38x = 50,020.50 × 50,020.50
  4. Step 4: Simplify right side
    31,956.38x = 2,502,050,420.25
  5. Step 5: Solve for x
    x = 2,502,050,420.25/31,956.38
  6. Step 6: Final answer
    x = 78,295.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.