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Finding the Third Proportional to 3,464.47 and 7,175.04

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Solution

The third proportional to 3,464.47 and 7,175.04 is: 14,859.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.47 : 7,175.04 = 7,175.04 : x
  2. Step 2: Convert to fraction form
    3,464.47/7,175.04 = 7,175.04/x
  3. Step 3: Cross multiply
    3,464.47x = 7,175.04 × 7,175.04
  4. Step 4: Simplify right side
    3,464.47x = 51,481,185.55
  5. Step 5: Solve for x
    x = 51,481,185.55/3,464.47
  6. Step 6: Final answer
    x = 14,859.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.