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Finding the Third Proportional to 1,763.44 and 3,839.06

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Solution

The third proportional to 1,763.44 and 3,839.06 is: 8,357.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.44 : 3,839.06 = 3,839.06 : x
  2. Step 2: Convert to fraction form
    1,763.44/3,839.06 = 3,839.06/x
  3. Step 3: Cross multiply
    1,763.44x = 3,839.06 × 3,839.06
  4. Step 4: Simplify right side
    1,763.44x = 14,738,400.88
  5. Step 5: Solve for x
    x = 14,738,400.88/1,763.44
  6. Step 6: Final answer
    x = 8,357.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.