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Finding the Third Proportional to 20,177 and 31,345

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Solution

The third proportional to 20,177 and 31,345 is: 48,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,177 : 31,345 = 31,345 : x
  2. Step 2: Convert to fraction form
    20,177/31,345 = 31,345/x
  3. Step 3: Cross multiply
    20,177x = 31,345 × 31,345
  4. Step 4: Simplify right side
    20,177x = 982,509,025
  5. Step 5: Solve for x
    x = 982,509,025/20,177
  6. Step 6: Final answer
    x = 48,694.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.