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Finding the Third Proportional to 20,710.69 and 31,939.31

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Solution

The third proportional to 20,710.69 and 31,939.31 is: 49,255.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,710.69 : 31,939.31 = 31,939.31 : x
  2. Step 2: Convert to fraction form
    20,710.69/31,939.31 = 31,939.31/x
  3. Step 3: Cross multiply
    20,710.69x = 31,939.31 × 31,939.31
  4. Step 4: Simplify right side
    20,710.69x = 1,020,119,682.97
  5. Step 5: Solve for x
    x = 1,020,119,682.97/20,710.69
  6. Step 6: Final answer
    x = 49,255.71

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