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Finding the Third Proportional to 13,619 and 20,510

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Solution

The third proportional to 13,619 and 20,510 is: 30,887.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,619 : 20,510 = 20,510 : x
  2. Step 2: Convert to fraction form
    13,619/20,510 = 20,510/x
  3. Step 3: Cross multiply
    13,619x = 20,510 × 20,510
  4. Step 4: Simplify right side
    13,619x = 420,660,100
  5. Step 5: Solve for x
    x = 420,660,100/13,619
  6. Step 6: Final answer
    x = 30,887.74

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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.