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Finding the Third Proportional to 20,694.66 and 31,105.27

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Solution

The third proportional to 20,694.66 and 31,105.27 is: 46,753.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,694.66 : 31,105.27 = 31,105.27 : x
  2. Step 2: Convert to fraction form
    20,694.66/31,105.27 = 31,105.27/x
  3. Step 3: Cross multiply
    20,694.66x = 31,105.27 × 31,105.27
  4. Step 4: Simplify right side
    20,694.66x = 967,537,549.60
  5. Step 5: Solve for x
    x = 967,537,549.60/20,694.66
  6. Step 6: Final answer
    x = 46,753.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.