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Finding the Third Proportional to 1,768.97 and 3,780.94

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Solution

The third proportional to 1,768.97 and 3,780.94 is: 8,081.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.97 : 3,780.94 = 3,780.94 : x
  2. Step 2: Convert to fraction form
    1,768.97/3,780.94 = 3,780.94/x
  3. Step 3: Cross multiply
    1,768.97x = 3,780.94 × 3,780.94
  4. Step 4: Simplify right side
    1,768.97x = 14,295,488.38
  5. Step 5: Solve for x
    x = 14,295,488.38/1,768.97
  6. Step 6: Final answer
    x = 8,081.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.