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Finding the Third Proportional to 1,981.97 and 3,083.06

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Solution

The third proportional to 1,981.97 and 3,083.06 is: 4,795.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.97 : 3,083.06 = 3,083.06 : x
  2. Step 2: Convert to fraction form
    1,981.97/3,083.06 = 3,083.06/x
  3. Step 3: Cross multiply
    1,981.97x = 3,083.06 × 3,083.06
  4. Step 4: Simplify right side
    1,981.97x = 9,505,274.38
  5. Step 5: Solve for x
    x = 9,505,274.38/1,981.97
  6. Step 6: Final answer
    x = 4,795.88

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.