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Finding the Third Proportional to 43,848 and 95,982

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Solution

The third proportional to 43,848 and 95,982 is: 210,101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,848 : 95,982 = 95,982 : x
  2. Step 2: Convert to fraction form
    43,848/95,982 = 95,982/x
  3. Step 3: Cross multiply
    43,848x = 95,982 × 95,982
  4. Step 4: Simplify right side
    43,848x = 9,212,544,324
  5. Step 5: Solve for x
    x = 9,212,544,324/43,848
  6. Step 6: Final answer
    x = 210,101.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.