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Finding the Third Proportional to 17,962 and 38,792

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Solution

The third proportional to 17,962 and 38,792 is: 83,777.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,962 : 38,792 = 38,792 : x
  2. Step 2: Convert to fraction form
    17,962/38,792 = 38,792/x
  3. Step 3: Cross multiply
    17,962x = 38,792 × 38,792
  4. Step 4: Simplify right side
    17,962x = 1,504,819,264
  5. Step 5: Solve for x
    x = 1,504,819,264/17,962
  6. Step 6: Final answer
    x = 83,777.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.