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Finding the Third Proportional to 2,786.06 and 6,566.91

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Solution

The third proportional to 2,786.06 and 6,566.91 is: 15,478.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.06 : 6,566.91 = 6,566.91 : x
  2. Step 2: Convert to fraction form
    2,786.06/6,566.91 = 6,566.91/x
  3. Step 3: Cross multiply
    2,786.06x = 6,566.91 × 6,566.91
  4. Step 4: Simplify right side
    2,786.06x = 43,124,257.70
  5. Step 5: Solve for x
    x = 43,124,257.70/2,786.06
  6. Step 6: Final answer
    x = 15,478.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.