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Finding the Third Proportional to 2,175.75 and 4,199.63

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Solution

The third proportional to 2,175.75 and 4,199.63 is: 8,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.75 : 4,199.63 = 4,199.63 : x
  2. Step 2: Convert to fraction form
    2,175.75/4,199.63 = 4,199.63/x
  3. Step 3: Cross multiply
    2,175.75x = 4,199.63 × 4,199.63
  4. Step 4: Simplify right side
    2,175.75x = 17,636,850.14
  5. Step 5: Solve for x
    x = 17,636,850.14/2,175.75
  6. Step 6: Final answer
    x = 8,106.10

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.