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Finding the Third Proportional to 11,105 and 14,407

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Solution

The third proportional to 11,105 and 14,407 is: 18,690.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105 : 14,407 = 14,407 : x
  2. Step 2: Convert to fraction form
    11,105/14,407 = 14,407/x
  3. Step 3: Cross multiply
    11,105x = 14,407 × 14,407
  4. Step 4: Simplify right side
    11,105x = 207,561,649
  5. Step 5: Solve for x
    x = 207,561,649/11,105
  6. Step 6: Final answer
    x = 18,690.83

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.