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Finding the Third Proportional to 20,046 and 31,739

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Solution

The third proportional to 20,046 and 31,739 is: 50,252.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,046 : 31,739 = 31,739 : x
  2. Step 2: Convert to fraction form
    20,046/31,739 = 31,739/x
  3. Step 3: Cross multiply
    20,046x = 31,739 × 31,739
  4. Step 4: Simplify right side
    20,046x = 1,007,364,121
  5. Step 5: Solve for x
    x = 1,007,364,121/20,046
  6. Step 6: Final answer
    x = 50,252.63

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.