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Finding the Third Proportional to 2,872.57 and 6,005.71

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Solution

The third proportional to 2,872.57 and 6,005.71 is: 12,556.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.57 : 6,005.71 = 6,005.71 : x
  2. Step 2: Convert to fraction form
    2,872.57/6,005.71 = 6,005.71/x
  3. Step 3: Cross multiply
    2,872.57x = 6,005.71 × 6,005.71
  4. Step 4: Simplify right side
    2,872.57x = 36,068,516.95
  5. Step 5: Solve for x
    x = 36,068,516.95/2,872.57
  6. Step 6: Final answer
    x = 12,556.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.