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Finding the Third Proportional to 13,801 and 20,688

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Solution

The third proportional to 13,801 and 20,688 is: 31,011.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801 : 20,688 = 20,688 : x
  2. Step 2: Convert to fraction form
    13,801/20,688 = 20,688/x
  3. Step 3: Cross multiply
    13,801x = 20,688 × 20,688
  4. Step 4: Simplify right side
    13,801x = 427,993,344
  5. Step 5: Solve for x
    x = 427,993,344/13,801
  6. Step 6: Final answer
    x = 31,011.76

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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.