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Finding the Third Proportional to 4,296 and 6,127

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Solution

The third proportional to 4,296 and 6,127 is: 8,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296 : 6,127 = 6,127 : x
  2. Step 2: Convert to fraction form
    4,296/6,127 = 6,127/x
  3. Step 3: Cross multiply
    4,296x = 6,127 × 6,127
  4. Step 4: Simplify right side
    4,296x = 37,540,129
  5. Step 5: Solve for x
    x = 37,540,129/4,296
  6. Step 6: Final answer
    x = 8,738.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.