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Finding the Third Proportional to 31,964.75 and 50,145

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Solution

The third proportional to 31,964.75 and 50,145 is: 78,665.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,964.75 : 50,145 = 50,145 : x
  2. Step 2: Convert to fraction form
    31,964.75/50,145 = 50,145/x
  3. Step 3: Cross multiply
    31,964.75x = 50,145 × 50,145
  4. Step 4: Simplify right side
    31,964.75x = 2,514,521,025
  5. Step 5: Solve for x
    x = 2,514,521,025/31,964.75
  6. Step 6: Final answer
    x = 78,665.44

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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.