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Finding the Third Proportional to 20,734 and 31,886

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Solution

The third proportional to 20,734 and 31,886 is: 49,036.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,734 : 31,886 = 31,886 : x
  2. Step 2: Convert to fraction form
    20,734/31,886 = 31,886/x
  3. Step 3: Cross multiply
    20,734x = 31,886 × 31,886
  4. Step 4: Simplify right side
    20,734x = 1,016,716,996
  5. Step 5: Solve for x
    x = 1,016,716,996/20,734
  6. Step 6: Final answer
    x = 49,036.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.