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Finding the Third Proportional to 1,768.88 and 3,844.88

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Solution

The third proportional to 1,768.88 and 3,844.88 is: 8,357.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.88 : 3,844.88 = 3,844.88 : x
  2. Step 2: Convert to fraction form
    1,768.88/3,844.88 = 3,844.88/x
  3. Step 3: Cross multiply
    1,768.88x = 3,844.88 × 3,844.88
  4. Step 4: Simplify right side
    1,768.88x = 14,783,063.77
  5. Step 5: Solve for x
    x = 14,783,063.77/1,768.88
  6. Step 6: Final answer
    x = 8,357.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.