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Finding the Third Proportional to 3,468 and 4,104

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Solution

The third proportional to 3,468 and 4,104 is: 4,856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468 : 4,104 = 4,104 : x
  2. Step 2: Convert to fraction form
    3,468/4,104 = 4,104/x
  3. Step 3: Cross multiply
    3,468x = 4,104 × 4,104
  4. Step 4: Simplify right side
    3,468x = 16,842,816
  5. Step 5: Solve for x
    x = 16,842,816/3,468
  6. Step 6: Final answer
    x = 4,856.64

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.