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Finding the Third Proportional to 4,047 and 6,093

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Solution

The third proportional to 4,047 and 6,093 is: 9,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047 : 6,093 = 6,093 : x
  2. Step 2: Convert to fraction form
    4,047/6,093 = 6,093/x
  3. Step 3: Cross multiply
    4,047x = 6,093 × 6,093
  4. Step 4: Simplify right side
    4,047x = 37,124,649
  5. Step 5: Solve for x
    x = 37,124,649/4,047
  6. Step 6: Final answer
    x = 9,173.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.