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Finding the Third Proportional to 4,224.09 and 6,175.64

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Solution

The third proportional to 4,224.09 and 6,175.64 is: 9,028.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.09 : 6,175.64 = 6,175.64 : x
  2. Step 2: Convert to fraction form
    4,224.09/6,175.64 = 6,175.64/x
  3. Step 3: Cross multiply
    4,224.09x = 6,175.64 × 6,175.64
  4. Step 4: Simplify right side
    4,224.09x = 38,138,537.13
  5. Step 5: Solve for x
    x = 38,138,537.13/4,224.09
  6. Step 6: Final answer
    x = 9,028.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.