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Finding the Third Proportional to 3,608.06 and 5,639.91

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Solution

The third proportional to 3,608.06 and 5,639.91 is: 8,815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.06 : 5,639.91 = 5,639.91 : x
  2. Step 2: Convert to fraction form
    3,608.06/5,639.91 = 5,639.91/x
  3. Step 3: Cross multiply
    3,608.06x = 5,639.91 × 5,639.91
  4. Step 4: Simplify right side
    3,608.06x = 31,808,542.51
  5. Step 5: Solve for x
    x = 31,808,542.51/3,608.06
  6. Step 6: Final answer
    x = 8,815.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.