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Finding the Third Proportional to 31,964.25 and 67,299

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Solution

The third proportional to 31,964.25 and 67,299 is: 141,694.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,964.25 : 67,299 = 67,299 : x
  2. Step 2: Convert to fraction form
    31,964.25/67,299 = 67,299/x
  3. Step 3: Cross multiply
    31,964.25x = 67,299 × 67,299
  4. Step 4: Simplify right side
    31,964.25x = 4,529,155,401
  5. Step 5: Solve for x
    x = 4,529,155,401/31,964.25
  6. Step 6: Final answer
    x = 141,694.41

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.