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Finding the Third Proportional to 10,738 and 14,126

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Solution

The third proportional to 10,738 and 14,126 is: 18,582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738 : 14,126 = 14,126 : x
  2. Step 2: Convert to fraction form
    10,738/14,126 = 14,126/x
  3. Step 3: Cross multiply
    10,738x = 14,126 × 14,126
  4. Step 4: Simplify right side
    10,738x = 199,543,876
  5. Step 5: Solve for x
    x = 199,543,876/10,738
  6. Step 6: Final answer
    x = 18,582.96

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.