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Finding the Third Proportional to 12,092 and 18,989

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Solution

The third proportional to 12,092 and 18,989 is: 29,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092 : 18,989 = 18,989 : x
  2. Step 2: Convert to fraction form
    12,092/18,989 = 18,989/x
  3. Step 3: Cross multiply
    12,092x = 18,989 × 18,989
  4. Step 4: Simplify right side
    12,092x = 360,582,121
  5. Step 5: Solve for x
    x = 360,582,121/12,092
  6. Step 6: Final answer
    x = 29,819.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.