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Finding the Third Proportional to 18,842 and 30,116

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Solution

The third proportional to 18,842 and 30,116 is: 48,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,842 : 30,116 = 30,116 : x
  2. Step 2: Convert to fraction form
    18,842/30,116 = 30,116/x
  3. Step 3: Cross multiply
    18,842x = 30,116 × 30,116
  4. Step 4: Simplify right side
    18,842x = 906,973,456
  5. Step 5: Solve for x
    x = 906,973,456/18,842
  6. Step 6: Final answer
    x = 48,135.73

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.