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Finding the Third Proportional to 4,069 and 5,410

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Solution

The third proportional to 4,069 and 5,410 is: 7,192.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069 : 5,410 = 5,410 : x
  2. Step 2: Convert to fraction form
    4,069/5,410 = 5,410/x
  3. Step 3: Cross multiply
    4,069x = 5,410 × 5,410
  4. Step 4: Simplify right side
    4,069x = 29,268,100
  5. Step 5: Solve for x
    x = 29,268,100/4,069
  6. Step 6: Final answer
    x = 7,192.95

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.