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Finding the Third Proportional to 29,222 and 62,824

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Solution

The third proportional to 29,222 and 62,824 is: 135,064.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,222 : 62,824 = 62,824 : x
  2. Step 2: Convert to fraction form
    29,222/62,824 = 62,824/x
  3. Step 3: Cross multiply
    29,222x = 62,824 × 62,824
  4. Step 4: Simplify right side
    29,222x = 3,946,854,976
  5. Step 5: Solve for x
    x = 3,946,854,976/29,222
  6. Step 6: Final answer
    x = 135,064.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.