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Finding the Third Proportional to 1,972.13 and 3,086.44

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Solution

The third proportional to 1,972.13 and 3,086.44 is: 4,830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.13 : 3,086.44 = 3,086.44 : x
  2. Step 2: Convert to fraction form
    1,972.13/3,086.44 = 3,086.44/x
  3. Step 3: Cross multiply
    1,972.13x = 3,086.44 × 3,086.44
  4. Step 4: Simplify right side
    1,972.13x = 9,526,096.44
  5. Step 5: Solve for x
    x = 9,526,096.44/1,972.13
  6. Step 6: Final answer
    x = 4,830.37

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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.