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Finding the Third Proportional to 1,972.69 and 2,718.14

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Solution

The third proportional to 1,972.69 and 2,718.14 is: 3,745.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.69 : 2,718.14 = 2,718.14 : x
  2. Step 2: Convert to fraction form
    1,972.69/2,718.14 = 2,718.14/x
  3. Step 3: Cross multiply
    1,972.69x = 2,718.14 × 2,718.14
  4. Step 4: Simplify right side
    1,972.69x = 7,388,288.46
  5. Step 5: Solve for x
    x = 7,388,288.46/1,972.69
  6. Step 6: Final answer
    x = 3,745.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.