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Finding the Third Proportional to 31,448 and 67,794

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Solution

The third proportional to 31,448 and 67,794 is: 146,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,448 : 67,794 = 67,794 : x
  2. Step 2: Convert to fraction form
    31,448/67,794 = 67,794/x
  3. Step 3: Cross multiply
    31,448x = 67,794 × 67,794
  4. Step 4: Simplify right side
    31,448x = 4,596,026,436
  5. Step 5: Solve for x
    x = 4,596,026,436/31,448
  6. Step 6: Final answer
    x = 146,146.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.