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Finding the Third Proportional to 3,633.75 and 7,872.75

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Solution

The third proportional to 3,633.75 and 7,872.75 is: 17,056.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.75 : 7,872.75 = 7,872.75 : x
  2. Step 2: Convert to fraction form
    3,633.75/7,872.75 = 7,872.75/x
  3. Step 3: Cross multiply
    3,633.75x = 7,872.75 × 7,872.75
  4. Step 4: Simplify right side
    3,633.75x = 61,980,192.56
  5. Step 5: Solve for x
    x = 61,980,192.56/3,633.75
  6. Step 6: Final answer
    x = 17,056.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.