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Finding the Third Proportional to 14,617.97 and 31,694.41

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Solution

The third proportional to 14,617.97 and 31,694.41 is: 68,719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.97 : 31,694.41 = 31,694.41 : x
  2. Step 2: Convert to fraction form
    14,617.97/31,694.41 = 31,694.41/x
  3. Step 3: Cross multiply
    14,617.97x = 31,694.41 × 31,694.41
  4. Step 4: Simplify right side
    14,617.97x = 1,004,535,882.77
  5. Step 5: Solve for x
    x = 1,004,535,882.77/14,617.97
  6. Step 6: Final answer
    x = 68,719.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.