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Finding the Third Proportional to 1,628.44 and 2,241.56

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Solution

The third proportional to 1,628.44 and 2,241.56 is: 3,085.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.44 : 2,241.56 = 2,241.56 : x
  2. Step 2: Convert to fraction form
    1,628.44/2,241.56 = 2,241.56/x
  3. Step 3: Cross multiply
    1,628.44x = 2,241.56 × 2,241.56
  4. Step 4: Simplify right side
    1,628.44x = 5,024,602.44
  5. Step 5: Solve for x
    x = 5,024,602.44/1,628.44
  6. Step 6: Final answer
    x = 3,085.54

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Why These Related Problems?

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