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Finding the Third Proportional to 38,051 and 54,086

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Solution

The third proportional to 38,051 and 54,086 is: 76,878.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,051 : 54,086 = 54,086 : x
  2. Step 2: Convert to fraction form
    38,051/54,086 = 54,086/x
  3. Step 3: Cross multiply
    38,051x = 54,086 × 54,086
  4. Step 4: Simplify right side
    38,051x = 2,925,295,396
  5. Step 5: Solve for x
    x = 2,925,295,396/38,051
  6. Step 6: Final answer
    x = 76,878.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.