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Finding the Third Proportional to 14,661.84 and 31,942.69

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Solution

The third proportional to 14,661.84 and 31,942.69 is: 69,591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,661.84 : 31,942.69 = 31,942.69 : x
  2. Step 2: Convert to fraction form
    14,661.84/31,942.69 = 31,942.69/x
  3. Step 3: Cross multiply
    14,661.84x = 31,942.69 × 31,942.69
  4. Step 4: Simplify right side
    14,661.84x = 1,020,335,284.72
  5. Step 5: Solve for x
    x = 1,020,335,284.72/14,661.84
  6. Step 6: Final answer
    x = 69,591.20

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.