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Finding the Third Proportional to 6,369.47 and 13,512.66

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Solution

The third proportional to 6,369.47 and 13,512.66 is: 28,666.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.47 : 13,512.66 = 13,512.66 : x
  2. Step 2: Convert to fraction form
    6,369.47/13,512.66 = 13,512.66/x
  3. Step 3: Cross multiply
    6,369.47x = 13,512.66 × 13,512.66
  4. Step 4: Simplify right side
    6,369.47x = 182,591,878.93
  5. Step 5: Solve for x
    x = 182,591,878.93/6,369.47
  6. Step 6: Final answer
    x = 28,666.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.