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Finding the Third Proportional to 5,963 and 13,093

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Solution

The third proportional to 5,963 and 13,093 is: 28,748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963 : 13,093 = 13,093 : x
  2. Step 2: Convert to fraction form
    5,963/13,093 = 13,093/x
  3. Step 3: Cross multiply
    5,963x = 13,093 × 13,093
  4. Step 4: Simplify right side
    5,963x = 171,426,649
  5. Step 5: Solve for x
    x = 171,426,649/5,963
  6. Step 6: Final answer
    x = 28,748.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.