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Finding the Third Proportional to 2,566.69 and 4,080.66

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Solution

The third proportional to 2,566.69 and 4,080.66 is: 6,487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.69 : 4,080.66 = 4,080.66 : x
  2. Step 2: Convert to fraction form
    2,566.69/4,080.66 = 4,080.66/x
  3. Step 3: Cross multiply
    2,566.69x = 4,080.66 × 4,080.66
  4. Step 4: Simplify right side
    2,566.69x = 16,651,755.43
  5. Step 5: Solve for x
    x = 16,651,755.43/2,566.69
  6. Step 6: Final answer
    x = 6,487.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.