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Finding the Third Proportional to 6,142 and 13,100

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Solution

The third proportional to 6,142 and 13,100 is: 27,940.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142 : 13,100 = 13,100 : x
  2. Step 2: Convert to fraction form
    6,142/13,100 = 13,100/x
  3. Step 3: Cross multiply
    6,142x = 13,100 × 13,100
  4. Step 4: Simplify right side
    6,142x = 171,610,000
  5. Step 5: Solve for x
    x = 171,610,000/6,142
  6. Step 6: Final answer
    x = 27,940.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.