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Finding the Third Proportional to 12,939.75 and 20,275.31

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Solution

The third proportional to 12,939.75 and 20,275.31 is: 31,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,939.75 : 20,275.31 = 20,275.31 : x
  2. Step 2: Convert to fraction form
    12,939.75/20,275.31 = 20,275.31/x
  3. Step 3: Cross multiply
    12,939.75x = 20,275.31 × 20,275.31
  4. Step 4: Simplify right side
    12,939.75x = 411,088,296.97
  5. Step 5: Solve for x
    x = 411,088,296.97/12,939.75
  6. Step 6: Final answer
    x = 31,769.42

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