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Finding the Third Proportional to 4,191 and 10,131

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Solution

The third proportional to 4,191 and 10,131 is: 24,489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191 : 10,131 = 10,131 : x
  2. Step 2: Convert to fraction form
    4,191/10,131 = 10,131/x
  3. Step 3: Cross multiply
    4,191x = 10,131 × 10,131
  4. Step 4: Simplify right side
    4,191x = 102,637,161
  5. Step 5: Solve for x
    x = 102,637,161/4,191
  6. Step 6: Final answer
    x = 24,489.90

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.