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Finding the Third Proportional to 6,204.52 and 13,524.47

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Solution

The third proportional to 6,204.52 and 13,524.47 is: 29,480.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.52 : 13,524.47 = 13,524.47 : x
  2. Step 2: Convert to fraction form
    6,204.52/13,524.47 = 13,524.47/x
  3. Step 3: Cross multiply
    6,204.52x = 13,524.47 × 13,524.47
  4. Step 4: Simplify right side
    6,204.52x = 182,911,254.97
  5. Step 5: Solve for x
    x = 182,911,254.97/6,204.52
  6. Step 6: Final answer
    x = 29,480.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.