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Finding the Third Proportional to 20,219 and 28,878

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Solution

The third proportional to 20,219 and 28,878 is: 41,245.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,219 : 28,878 = 28,878 : x
  2. Step 2: Convert to fraction form
    20,219/28,878 = 28,878/x
  3. Step 3: Cross multiply
    20,219x = 28,878 × 28,878
  4. Step 4: Simplify right side
    20,219x = 833,938,884
  5. Step 5: Solve for x
    x = 833,938,884/20,219
  6. Step 6: Final answer
    x = 41,245.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.