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Finding the Third Proportional to 20,255 and 31,704

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Solution

The third proportional to 20,255 and 31,704 is: 49,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,255 : 31,704 = 31,704 : x
  2. Step 2: Convert to fraction form
    20,255/31,704 = 31,704/x
  3. Step 3: Cross multiply
    20,255x = 31,704 × 31,704
  4. Step 4: Simplify right side
    20,255x = 1,005,143,616
  5. Step 5: Solve for x
    x = 1,005,143,616/20,255
  6. Step 6: Final answer
    x = 49,624.47

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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.