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Finding the Third Proportional to 9,131 and 14,105

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Solution

The third proportional to 9,131 and 14,105 is: 21,788.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131 : 14,105 = 14,105 : x
  2. Step 2: Convert to fraction form
    9,131/14,105 = 14,105/x
  3. Step 3: Cross multiply
    9,131x = 14,105 × 14,105
  4. Step 4: Simplify right side
    9,131x = 198,951,025
  5. Step 5: Solve for x
    x = 198,951,025/9,131
  6. Step 6: Final answer
    x = 21,788.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.