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Finding the Third Proportional to 20,306 and 31,827

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Solution

The third proportional to 20,306 and 31,827 is: 49,884.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,306 : 31,827 = 31,827 : x
  2. Step 2: Convert to fraction form
    20,306/31,827 = 31,827/x
  3. Step 3: Cross multiply
    20,306x = 31,827 × 31,827
  4. Step 4: Simplify right side
    20,306x = 1,012,957,929
  5. Step 5: Solve for x
    x = 1,012,957,929/20,306
  6. Step 6: Final answer
    x = 49,884.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.