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Finding the Third Proportional to 31,943 and 50,007

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Solution

The third proportional to 31,943 and 50,007 is: 78,286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,943 : 50,007 = 50,007 : x
  2. Step 2: Convert to fraction form
    31,943/50,007 = 50,007/x
  3. Step 3: Cross multiply
    31,943x = 50,007 × 50,007
  4. Step 4: Simplify right side
    31,943x = 2,500,700,049
  5. Step 5: Solve for x
    x = 2,500,700,049/31,943
  6. Step 6: Final answer
    x = 78,286.32

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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.