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Finding the Third Proportional to 41,832 and 87,970

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Solution

The third proportional to 41,832 and 87,970 is: 184,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,832 : 87,970 = 87,970 : x
  2. Step 2: Convert to fraction form
    41,832/87,970 = 87,970/x
  3. Step 3: Cross multiply
    41,832x = 87,970 × 87,970
  4. Step 4: Simplify right side
    41,832x = 7,738,720,900
  5. Step 5: Solve for x
    x = 7,738,720,900/41,832
  6. Step 6: Final answer
    x = 184,995.24

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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.