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Finding the Third Proportional to 4,069 and 6,100

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Solution

The third proportional to 4,069 and 6,100 is: 9,144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069 : 6,100 = 6,100 : x
  2. Step 2: Convert to fraction form
    4,069/6,100 = 6,100/x
  3. Step 3: Cross multiply
    4,069x = 6,100 × 6,100
  4. Step 4: Simplify right side
    4,069x = 37,210,000
  5. Step 5: Solve for x
    x = 37,210,000/4,069
  6. Step 6: Final answer
    x = 9,144.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.