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Finding the Third Proportional to 5,194 and 8,367

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Solution

The third proportional to 5,194 and 8,367 is: 13,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194 : 8,367 = 8,367 : x
  2. Step 2: Convert to fraction form
    5,194/8,367 = 8,367/x
  3. Step 3: Cross multiply
    5,194x = 8,367 × 8,367
  4. Step 4: Simplify right side
    5,194x = 70,006,689
  5. Step 5: Solve for x
    x = 70,006,689/5,194
  6. Step 6: Final answer
    x = 13,478.38

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.