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Finding the Third Proportional to 31,951.13 and 50,014.13

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Solution

The third proportional to 31,951.13 and 50,014.13 is: 78,288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,951.13 : 50,014.13 = 50,014.13 : x
  2. Step 2: Convert to fraction form
    31,951.13/50,014.13 = 50,014.13/x
  3. Step 3: Cross multiply
    31,951.13x = 50,014.13 × 50,014.13
  4. Step 4: Simplify right side
    31,951.13x = 2,501,412,699.52
  5. Step 5: Solve for x
    x = 2,501,412,699.52/31,951.13
  6. Step 6: Final answer
    x = 78,288.72

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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.