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Finding the Third Proportional to 12,093 and 18,686

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Solution

The third proportional to 12,093 and 18,686 is: 28,873.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093 : 18,686 = 18,686 : x
  2. Step 2: Convert to fraction form
    12,093/18,686 = 18,686/x
  3. Step 3: Cross multiply
    12,093x = 18,686 × 18,686
  4. Step 4: Simplify right side
    12,093x = 349,166,596
  5. Step 5: Solve for x
    x = 349,166,596/12,093
  6. Step 6: Final answer
    x = 28,873.45

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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.