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Finding the Third Proportional to 20,865.09 and 32,356.97

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Solution

The third proportional to 20,865.09 and 32,356.97 is: 50,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,865.09 : 32,356.97 = 32,356.97 : x
  2. Step 2: Convert to fraction form
    20,865.09/32,356.97 = 32,356.97/x
  3. Step 3: Cross multiply
    20,865.09x = 32,356.97 × 32,356.97
  4. Step 4: Simplify right side
    20,865.09x = 1,046,973,426.69
  5. Step 5: Solve for x
    x = 1,046,973,426.69/20,865.09
  6. Step 6: Final answer
    x = 50,178.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.