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Finding the Third Proportional to 12,267 and 18,987.75

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Solution

The third proportional to 12,267 and 18,987.75 is: 29,390.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,267 : 18,987.75 = 18,987.75 : x
  2. Step 2: Convert to fraction form
    12,267/18,987.75 = 18,987.75/x
  3. Step 3: Cross multiply
    12,267x = 18,987.75 × 18,987.75
  4. Step 4: Simplify right side
    12,267x = 360,534,650.06
  5. Step 5: Solve for x
    x = 360,534,650.06/12,267
  6. Step 6: Final answer
    x = 29,390.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.