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Finding the Third Proportional to 6,208.52 and 13,452.96

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Solution

The third proportional to 6,208.52 and 13,452.96 is: 29,150.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.52 : 13,452.96 = 13,452.96 : x
  2. Step 2: Convert to fraction form
    6,208.52/13,452.96 = 13,452.96/x
  3. Step 3: Cross multiply
    6,208.52x = 13,452.96 × 13,452.96
  4. Step 4: Simplify right side
    6,208.52x = 180,982,157.99
  5. Step 5: Solve for x
    x = 180,982,157.99/6,208.52
  6. Step 6: Final answer
    x = 29,150.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.