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Finding the Third Proportional to 13,725 and 20,505

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Solution

The third proportional to 13,725 and 20,505 is: 30,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725 : 20,505 = 20,505 : x
  2. Step 2: Convert to fraction form
    13,725/20,505 = 20,505/x
  3. Step 3: Cross multiply
    13,725x = 20,505 × 20,505
  4. Step 4: Simplify right side
    13,725x = 420,455,025
  5. Step 5: Solve for x
    x = 420,455,025/13,725
  6. Step 6: Final answer
    x = 30,634.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.