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Finding the Third Proportional to 13,067 and 19,292.50

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Solution

The third proportional to 13,067 and 19,292.50 is: 28,484.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,067 : 19,292.50 = 19,292.50 : x
  2. Step 2: Convert to fraction form
    13,067/19,292.50 = 19,292.50/x
  3. Step 3: Cross multiply
    13,067x = 19,292.50 × 19,292.50
  4. Step 4: Simplify right side
    13,067x = 372,200,556.25
  5. Step 5: Solve for x
    x = 372,200,556.25/13,067
  6. Step 6: Final answer
    x = 28,484.01

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.