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Finding the Third Proportional to 20,219 and 29,150

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Solution

The third proportional to 20,219 and 29,150 is: 42,025.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,219 : 29,150 = 29,150 : x
  2. Step 2: Convert to fraction form
    20,219/29,150 = 29,150/x
  3. Step 3: Cross multiply
    20,219x = 29,150 × 29,150
  4. Step 4: Simplify right side
    20,219x = 849,722,500
  5. Step 5: Solve for x
    x = 849,722,500/20,219
  6. Step 6: Final answer
    x = 42,025.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.