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Finding the Third Proportional to 31,961 and 50,028

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Solution

The third proportional to 31,961 and 50,028 is: 78,307.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,961 : 50,028 = 50,028 : x
  2. Step 2: Convert to fraction form
    31,961/50,028 = 50,028/x
  3. Step 3: Cross multiply
    31,961x = 50,028 × 50,028
  4. Step 4: Simplify right side
    31,961x = 2,502,800,784
  5. Step 5: Solve for x
    x = 2,502,800,784/31,961
  6. Step 6: Final answer
    x = 78,307.96

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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.