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Finding the Third Proportional to 1,805.25 and 3,648.75

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Solution

The third proportional to 1,805.25 and 3,648.75 is: 7,374.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.25 : 3,648.75 = 3,648.75 : x
  2. Step 2: Convert to fraction form
    1,805.25/3,648.75 = 3,648.75/x
  3. Step 3: Cross multiply
    1,805.25x = 3,648.75 × 3,648.75
  4. Step 4: Simplify right side
    1,805.25x = 13,313,376.56
  5. Step 5: Solve for x
    x = 13,313,376.56/1,805.25
  6. Step 6: Final answer
    x = 7,374.81

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.