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Finding the Third Proportional to 36,422 and 54,968

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Solution

The third proportional to 36,422 and 54,968 is: 82,957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,422 : 54,968 = 54,968 : x
  2. Step 2: Convert to fraction form
    36,422/54,968 = 54,968/x
  3. Step 3: Cross multiply
    36,422x = 54,968 × 54,968
  4. Step 4: Simplify right side
    36,422x = 3,021,481,024
  5. Step 5: Solve for x
    x = 3,021,481,024/36,422
  6. Step 6: Final answer
    x = 82,957.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.