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Finding the Third Proportional to 38,154 and 57,879

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Solution

The third proportional to 38,154 and 57,879 is: 87,801.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,154 : 57,879 = 57,879 : x
  2. Step 2: Convert to fraction form
    38,154/57,879 = 57,879/x
  3. Step 3: Cross multiply
    38,154x = 57,879 × 57,879
  4. Step 4: Simplify right side
    38,154x = 3,349,978,641
  5. Step 5: Solve for x
    x = 3,349,978,641/38,154
  6. Step 6: Final answer
    x = 87,801.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.