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Finding the Third Proportional to 22,867 and 35,390

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Solution

The third proportional to 22,867 and 35,390 is: 54,771.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,867 : 35,390 = 35,390 : x
  2. Step 2: Convert to fraction form
    22,867/35,390 = 35,390/x
  3. Step 3: Cross multiply
    22,867x = 35,390 × 35,390
  4. Step 4: Simplify right side
    22,867x = 1,252,452,100
  5. Step 5: Solve for x
    x = 1,252,452,100/22,867
  6. Step 6: Final answer
    x = 54,771.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.