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Finding the Third Proportional to 13,674 and 20,910

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Solution

The third proportional to 13,674 and 20,910 is: 31,975.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674 : 20,910 = 20,910 : x
  2. Step 2: Convert to fraction form
    13,674/20,910 = 20,910/x
  3. Step 3: Cross multiply
    13,674x = 20,910 × 20,910
  4. Step 4: Simplify right side
    13,674x = 437,228,100
  5. Step 5: Solve for x
    x = 437,228,100/13,674
  6. Step 6: Final answer
    x = 31,975.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.