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Finding the Third Proportional to 2,963.25 and 7,175.25

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Solution

The third proportional to 2,963.25 and 7,175.25 is: 17,374.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.25 : 7,175.25 = 7,175.25 : x
  2. Step 2: Convert to fraction form
    2,963.25/7,175.25 = 7,175.25/x
  3. Step 3: Cross multiply
    2,963.25x = 7,175.25 × 7,175.25
  4. Step 4: Simplify right side
    2,963.25x = 51,484,212.56
  5. Step 5: Solve for x
    x = 51,484,212.56/2,963.25
  6. Step 6: Final answer
    x = 17,374.24

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.