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Finding the Third Proportional to 1,755.25 and 3,768.63

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Solution

The third proportional to 1,755.25 and 3,768.63 is: 8,091.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.25 : 3,768.63 = 3,768.63 : x
  2. Step 2: Convert to fraction form
    1,755.25/3,768.63 = 3,768.63/x
  3. Step 3: Cross multiply
    1,755.25x = 3,768.63 × 3,768.63
  4. Step 4: Simplify right side
    1,755.25x = 14,202,534.39
  5. Step 5: Solve for x
    x = 14,202,534.39/1,755.25
  6. Step 6: Final answer
    x = 8,091.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.