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Finding the Third Proportional to 6,055.50 and 13,067

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Solution

The third proportional to 6,055.50 and 13,067 is: 28,196.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,055.50 : 13,067 = 13,067 : x
  2. Step 2: Convert to fraction form
    6,055.50/13,067 = 13,067/x
  3. Step 3: Cross multiply
    6,055.50x = 13,067 × 13,067
  4. Step 4: Simplify right side
    6,055.50x = 170,746,489
  5. Step 5: Solve for x
    x = 170,746,489/6,055.50
  6. Step 6: Final answer
    x = 28,196.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.