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Finding the Third Proportional to 1,733.91 and 3,738.66

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Solution

The third proportional to 1,733.91 and 3,738.66 is: 8,061.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.91 : 3,738.66 = 3,738.66 : x
  2. Step 2: Convert to fraction form
    1,733.91/3,738.66 = 3,738.66/x
  3. Step 3: Cross multiply
    1,733.91x = 3,738.66 × 3,738.66
  4. Step 4: Simplify right side
    1,733.91x = 13,977,550.56
  5. Step 5: Solve for x
    x = 13,977,550.56/1,733.91
  6. Step 6: Final answer
    x = 8,061.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.