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Finding the Third Proportional to 6,840 and 11,100

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Solution

The third proportional to 6,840 and 11,100 is: 18,013.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840 : 11,100 = 11,100 : x
  2. Step 2: Convert to fraction form
    6,840/11,100 = 11,100/x
  3. Step 3: Cross multiply
    6,840x = 11,100 × 11,100
  4. Step 4: Simplify right side
    6,840x = 123,210,000
  5. Step 5: Solve for x
    x = 123,210,000/6,840
  6. Step 6: Final answer
    x = 18,013.16

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.