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Finding the Third Proportional to 7,842 and 18,000

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Solution

The third proportional to 7,842 and 18,000 is: 41,315.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842 : 18,000 = 18,000 : x
  2. Step 2: Convert to fraction form
    7,842/18,000 = 18,000/x
  3. Step 3: Cross multiply
    7,842x = 18,000 × 18,000
  4. Step 4: Simplify right side
    7,842x = 324,000,000
  5. Step 5: Solve for x
    x = 324,000,000/7,842
  6. Step 6: Final answer
    x = 41,315.99

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.