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Finding the Third Proportional to 3,051.75 and 4,578.38

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Solution

The third proportional to 3,051.75 and 4,578.38 is: 6,868.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.75 : 4,578.38 = 4,578.38 : x
  2. Step 2: Convert to fraction form
    3,051.75/4,578.38 = 4,578.38/x
  3. Step 3: Cross multiply
    3,051.75x = 4,578.38 × 4,578.38
  4. Step 4: Simplify right side
    3,051.75x = 20,961,517.64
  5. Step 5: Solve for x
    x = 20,961,517.64/3,051.75
  6. Step 6: Final answer
    x = 6,868.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.