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Finding the Third Proportional to 43,832 and 92,038

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Solution

The third proportional to 43,832 and 92,038 is: 193,260.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,832 : 92,038 = 92,038 : x
  2. Step 2: Convert to fraction form
    43,832/92,038 = 92,038/x
  3. Step 3: Cross multiply
    43,832x = 92,038 × 92,038
  4. Step 4: Simplify right side
    43,832x = 8,470,993,444
  5. Step 5: Solve for x
    x = 8,470,993,444/43,832
  6. Step 6: Final answer
    x = 193,260.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.