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Finding the Third Proportional to 3,051.75 and 3,504

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Solution

The third proportional to 3,051.75 and 3,504 is: 4,023.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.75 : 3,504 = 3,504 : x
  2. Step 2: Convert to fraction form
    3,051.75/3,504 = 3,504/x
  3. Step 3: Cross multiply
    3,051.75x = 3,504 × 3,504
  4. Step 4: Simplify right side
    3,051.75x = 12,278,016
  5. Step 5: Solve for x
    x = 12,278,016/3,051.75
  6. Step 6: Final answer
    x = 4,023.27

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.