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Finding the Third Proportional to 38,155 and 59,150

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Solution

The third proportional to 38,155 and 59,150 is: 91,697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,155 : 59,150 = 59,150 : x
  2. Step 2: Convert to fraction form
    38,155/59,150 = 59,150/x
  3. Step 3: Cross multiply
    38,155x = 59,150 × 59,150
  4. Step 4: Simplify right side
    38,155x = 3,498,722,500
  5. Step 5: Solve for x
    x = 3,498,722,500/38,155
  6. Step 6: Final answer
    x = 91,697.61

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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.