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Finding the Third Proportional to 31,492 and 68,824

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Solution

The third proportional to 31,492 and 68,824 is: 150,410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,492 : 68,824 = 68,824 : x
  2. Step 2: Convert to fraction form
    31,492/68,824 = 68,824/x
  3. Step 3: Cross multiply
    31,492x = 68,824 × 68,824
  4. Step 4: Simplify right side
    31,492x = 4,736,742,976
  5. Step 5: Solve for x
    x = 4,736,742,976/31,492
  6. Step 6: Final answer
    x = 150,410.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.