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Finding the Third Proportional to 13,493 and 20,360

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Solution

The third proportional to 13,493 and 20,360 is: 30,721.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493 : 20,360 = 20,360 : x
  2. Step 2: Convert to fraction form
    13,493/20,360 = 20,360/x
  3. Step 3: Cross multiply
    13,493x = 20,360 × 20,360
  4. Step 4: Simplify right side
    13,493x = 414,529,600
  5. Step 5: Solve for x
    x = 414,529,600/13,493
  6. Step 6: Final answer
    x = 30,721.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.