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Finding the Third Proportional to 39,848 and 85,843

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Solution

The third proportional to 39,848 and 85,843 is: 184,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,848 : 85,843 = 85,843 : x
  2. Step 2: Convert to fraction form
    39,848/85,843 = 85,843/x
  3. Step 3: Cross multiply
    39,848x = 85,843 × 85,843
  4. Step 4: Simplify right side
    39,848x = 7,369,020,649
  5. Step 5: Solve for x
    x = 7,369,020,649/39,848
  6. Step 6: Final answer
    x = 184,928.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.