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Finding the Third Proportional to 3,704.91 and 6,587.58

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Solution

The third proportional to 3,704.91 and 6,587.58 is: 11,713.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.91 : 6,587.58 = 6,587.58 : x
  2. Step 2: Convert to fraction form
    3,704.91/6,587.58 = 6,587.58/x
  3. Step 3: Cross multiply
    3,704.91x = 6,587.58 × 6,587.58
  4. Step 4: Simplify right side
    3,704.91x = 43,396,185.55
  5. Step 5: Solve for x
    x = 43,396,185.55/3,704.91
  6. Step 6: Final answer
    x = 11,713.17

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.