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Finding the Third Proportional to 3,694.45 and 8,106.66

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Solution

The third proportional to 3,694.45 and 8,106.66 is: 17,788.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.45 : 8,106.66 = 8,106.66 : x
  2. Step 2: Convert to fraction form
    3,694.45/8,106.66 = 8,106.66/x
  3. Step 3: Cross multiply
    3,694.45x = 8,106.66 × 8,106.66
  4. Step 4: Simplify right side
    3,694.45x = 65,717,875.56
  5. Step 5: Solve for x
    x = 65,717,875.56/3,694.45
  6. Step 6: Final answer
    x = 17,788.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.