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Finding the Third Proportional to 3,384 and 5,406.75

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Solution

The third proportional to 3,384 and 5,406.75 is: 8,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384 : 5,406.75 = 5,406.75 : x
  2. Step 2: Convert to fraction form
    3,384/5,406.75 = 5,406.75/x
  3. Step 3: Cross multiply
    3,384x = 5,406.75 × 5,406.75
  4. Step 4: Simplify right side
    3,384x = 29,232,945.56
  5. Step 5: Solve for x
    x = 29,232,945.56/3,384
  6. Step 6: Final answer
    x = 8,638.58

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.