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Finding the Third Proportional to 20,294.30 and 31,880.46

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Solution

The third proportional to 20,294.30 and 31,880.46 is: 50,081.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,294.30 : 31,880.46 = 31,880.46 : x
  2. Step 2: Convert to fraction form
    20,294.30/31,880.46 = 31,880.46/x
  3. Step 3: Cross multiply
    20,294.30x = 31,880.46 × 31,880.46
  4. Step 4: Simplify right side
    20,294.30x = 1,016,363,789.59
  5. Step 5: Solve for x
    x = 1,016,363,789.59/20,294.30
  6. Step 6: Final answer
    x = 50,081.25

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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.