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Finding the Third Proportional to 3,664.69 and 7,899.19

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Solution

The third proportional to 3,664.69 and 7,899.19 is: 17,026.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.69 : 7,899.19 = 7,899.19 : x
  2. Step 2: Convert to fraction form
    3,664.69/7,899.19 = 7,899.19/x
  3. Step 3: Cross multiply
    3,664.69x = 7,899.19 × 7,899.19
  4. Step 4: Simplify right side
    3,664.69x = 62,397,163.16
  5. Step 5: Solve for x
    x = 62,397,163.16/3,664.69
  6. Step 6: Final answer
    x = 17,026.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.