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Finding the Third Proportional to 20,614 and 29,121

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Solution

The third proportional to 20,614 and 29,121 is: 41,138.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,614 : 29,121 = 29,121 : x
  2. Step 2: Convert to fraction form
    20,614/29,121 = 29,121/x
  3. Step 3: Cross multiply
    20,614x = 29,121 × 29,121
  4. Step 4: Simplify right side
    20,614x = 848,032,641
  5. Step 5: Solve for x
    x = 848,032,641/20,614
  6. Step 6: Final answer
    x = 41,138.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.