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Finding the Third Proportional to 1,917.42 and 2,675.37

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Solution

The third proportional to 1,917.42 and 2,675.37 is: 3,732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.42 : 2,675.37 = 2,675.37 : x
  2. Step 2: Convert to fraction form
    1,917.42/2,675.37 = 2,675.37/x
  3. Step 3: Cross multiply
    1,917.42x = 2,675.37 × 2,675.37
  4. Step 4: Simplify right side
    1,917.42x = 7,157,620.94
  5. Step 5: Solve for x
    x = 7,157,620.94/1,917.42
  6. Step 6: Final answer
    x = 3,732.94

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.