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Finding the Third Proportional to 14,096 and 21,110

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Solution

The third proportional to 14,096 and 21,110 is: 31,614.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096 : 21,110 = 21,110 : x
  2. Step 2: Convert to fraction form
    14,096/21,110 = 21,110/x
  3. Step 3: Cross multiply
    14,096x = 21,110 × 21,110
  4. Step 4: Simplify right side
    14,096x = 445,632,100
  5. Step 5: Solve for x
    x = 445,632,100/14,096
  6. Step 6: Final answer
    x = 31,614.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.