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Finding the Third Proportional to 43,832 and 96,032

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Solution

The third proportional to 43,832 and 96,032 is: 210,397.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,832 : 96,032 = 96,032 : x
  2. Step 2: Convert to fraction form
    43,832/96,032 = 96,032/x
  3. Step 3: Cross multiply
    43,832x = 96,032 × 96,032
  4. Step 4: Simplify right side
    43,832x = 9,222,145,024
  5. Step 5: Solve for x
    x = 9,222,145,024/43,832
  6. Step 6: Final answer
    x = 210,397.54

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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.