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Finding the Third Proportional to 31,792 and 73,904

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Solution

The third proportional to 31,792 and 73,904 is: 171,797.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,792 : 73,904 = 73,904 : x
  2. Step 2: Convert to fraction form
    31,792/73,904 = 73,904/x
  3. Step 3: Cross multiply
    31,792x = 73,904 × 73,904
  4. Step 4: Simplify right side
    31,792x = 5,461,801,216
  5. Step 5: Solve for x
    x = 5,461,801,216/31,792
  6. Step 6: Final answer
    x = 171,797.97

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.