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Finding the Third Proportional to 38,977 and 84,104

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Solution

The third proportional to 38,977 and 84,104 is: 181,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,977 : 84,104 = 84,104 : x
  2. Step 2: Convert to fraction form
    38,977/84,104 = 84,104/x
  3. Step 3: Cross multiply
    38,977x = 84,104 × 84,104
  4. Step 4: Simplify right side
    38,977x = 7,073,482,816
  5. Step 5: Solve for x
    x = 7,073,482,816/38,977
  6. Step 6: Final answer
    x = 181,478.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.