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Finding the Third Proportional to 19,968 and 31,344

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Solution

The third proportional to 19,968 and 31,344 is: 49,201.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,968 : 31,344 = 31,344 : x
  2. Step 2: Convert to fraction form
    19,968/31,344 = 31,344/x
  3. Step 3: Cross multiply
    19,968x = 31,344 × 31,344
  4. Step 4: Simplify right side
    19,968x = 982,446,336
  5. Step 5: Solve for x
    x = 982,446,336/19,968
  6. Step 6: Final answer
    x = 49,201.04

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.