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Finding the Third Proportional to 25,222 and 38,150

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Solution

The third proportional to 25,222 and 38,150 is: 57,704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,222 : 38,150 = 38,150 : x
  2. Step 2: Convert to fraction form
    25,222/38,150 = 38,150/x
  3. Step 3: Cross multiply
    25,222x = 38,150 × 38,150
  4. Step 4: Simplify right side
    25,222x = 1,455,422,500
  5. Step 5: Solve for x
    x = 1,455,422,500/25,222
  6. Step 6: Final answer
    x = 57,704.48

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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.