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Finding the Third Proportional to 41,722 and 97,632

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Solution

The third proportional to 41,722 and 97,632 is: 228,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,722 : 97,632 = 97,632 : x
  2. Step 2: Convert to fraction form
    41,722/97,632 = 97,632/x
  3. Step 3: Cross multiply
    41,722x = 97,632 × 97,632
  4. Step 4: Simplify right side
    41,722x = 9,532,007,424
  5. Step 5: Solve for x
    x = 9,532,007,424/41,722
  6. Step 6: Final answer
    x = 228,464.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.