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Finding the Third Proportional to 1,941.75 and 2,280.94

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Solution

The third proportional to 1,941.75 and 2,280.94 is: 2,679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.75 : 2,280.94 = 2,280.94 : x
  2. Step 2: Convert to fraction form
    1,941.75/2,280.94 = 2,280.94/x
  3. Step 3: Cross multiply
    1,941.75x = 2,280.94 × 2,280.94
  4. Step 4: Simplify right side
    1,941.75x = 5,202,675.88
  5. Step 5: Solve for x
    x = 5,202,675.88/1,941.75
  6. Step 6: Final answer
    x = 2,679.37

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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.