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Finding the Third Proportional to 3,361.66 and 3,669.21

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Solution

The third proportional to 3,361.66 and 3,669.21 is: 4,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.66 : 3,669.21 = 3,669.21 : x
  2. Step 2: Convert to fraction form
    3,361.66/3,669.21 = 3,669.21/x
  3. Step 3: Cross multiply
    3,361.66x = 3,669.21 × 3,669.21
  4. Step 4: Simplify right side
    3,361.66x = 13,463,065.91
  5. Step 5: Solve for x
    x = 13,463,065.91/3,361.66
  6. Step 6: Final answer
    x = 4,004.89

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.