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Finding the Third Proportional to 3,645.14 and 5,466.66

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Solution

The third proportional to 3,645.14 and 5,466.66 is: 8,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.14 : 5,466.66 = 5,466.66 : x
  2. Step 2: Convert to fraction form
    3,645.14/5,466.66 = 5,466.66/x
  3. Step 3: Cross multiply
    3,645.14x = 5,466.66 × 5,466.66
  4. Step 4: Simplify right side
    3,645.14x = 29,884,330.56
  5. Step 5: Solve for x
    x = 29,884,330.56/3,645.14
  6. Step 6: Final answer
    x = 8,198.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.