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Finding the Third Proportional to 12,096 and 18,686

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Solution

The third proportional to 12,096 and 18,686 is: 28,866.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096 : 18,686 = 18,686 : x
  2. Step 2: Convert to fraction form
    12,096/18,686 = 18,686/x
  3. Step 3: Cross multiply
    12,096x = 18,686 × 18,686
  4. Step 4: Simplify right side
    12,096x = 349,166,596
  5. Step 5: Solve for x
    x = 349,166,596/12,096
  6. Step 6: Final answer
    x = 28,866.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.