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Finding the Third Proportional to 1,640.25 and 2,733.75

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Solution

The third proportional to 1,640.25 and 2,733.75 is: 4,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.25 : 2,733.75 = 2,733.75 : x
  2. Step 2: Convert to fraction form
    1,640.25/2,733.75 = 2,733.75/x
  3. Step 3: Cross multiply
    1,640.25x = 2,733.75 × 2,733.75
  4. Step 4: Simplify right side
    1,640.25x = 7,473,389.06
  5. Step 5: Solve for x
    x = 7,473,389.06/1,640.25
  6. Step 6: Final answer
    x = 4,556.25

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.