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Finding the Third Proportional to 31,242 and 49,968

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Solution

The third proportional to 31,242 and 49,968 is: 79,918.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,242 : 49,968 = 49,968 : x
  2. Step 2: Convert to fraction form
    31,242/49,968 = 49,968/x
  3. Step 3: Cross multiply
    31,242x = 49,968 × 49,968
  4. Step 4: Simplify right side
    31,242x = 2,496,801,024
  5. Step 5: Solve for x
    x = 2,496,801,024/31,242
  6. Step 6: Final answer
    x = 79,918.09

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.