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Finding the Third Proportional to 4,178 and 6,131

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Solution

The third proportional to 4,178 and 6,131 is: 8,996.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178 : 6,131 = 6,131 : x
  2. Step 2: Convert to fraction form
    4,178/6,131 = 6,131/x
  3. Step 3: Cross multiply
    4,178x = 6,131 × 6,131
  4. Step 4: Simplify right side
    4,178x = 37,589,161
  5. Step 5: Solve for x
    x = 37,589,161/4,178
  6. Step 6: Final answer
    x = 8,996.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.