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Finding the Third Proportional to 13,419.75 and 20,220.75

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Solution

The third proportional to 13,419.75 and 20,220.75 is: 30,468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419.75 : 20,220.75 = 20,220.75 : x
  2. Step 2: Convert to fraction form
    13,419.75/20,220.75 = 20,220.75/x
  3. Step 3: Cross multiply
    13,419.75x = 20,220.75 × 20,220.75
  4. Step 4: Simplify right side
    13,419.75x = 408,878,730.56
  5. Step 5: Solve for x
    x = 408,878,730.56/13,419.75
  6. Step 6: Final answer
    x = 30,468.43

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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.