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Finding the Third Proportional to 39,286 and 84,848

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Solution

The third proportional to 39,286 and 84,848 is: 183,250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,286 : 84,848 = 84,848 : x
  2. Step 2: Convert to fraction form
    39,286/84,848 = 84,848/x
  3. Step 3: Cross multiply
    39,286x = 84,848 × 84,848
  4. Step 4: Simplify right side
    39,286x = 7,199,183,104
  5. Step 5: Solve for x
    x = 7,199,183,104/39,286
  6. Step 6: Final answer
    x = 183,250.60

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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.