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Finding the Third Proportional to 1,788.82 and 2,736.49

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Solution

The third proportional to 1,788.82 and 2,736.49 is: 4,186.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.82 : 2,736.49 = 2,736.49 : x
  2. Step 2: Convert to fraction form
    1,788.82/2,736.49 = 2,736.49/x
  3. Step 3: Cross multiply
    1,788.82x = 2,736.49 × 2,736.49
  4. Step 4: Simplify right side
    1,788.82x = 7,488,389.49
  5. Step 5: Solve for x
    x = 7,488,389.49/1,788.82
  6. Step 6: Final answer
    x = 4,186.22

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.