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Finding the Third Proportional to 18,632 and 39,176

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Solution

The third proportional to 18,632 and 39,176 is: 82,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,632 : 39,176 = 39,176 : x
  2. Step 2: Convert to fraction form
    18,632/39,176 = 39,176/x
  3. Step 3: Cross multiply
    18,632x = 39,176 × 39,176
  4. Step 4: Simplify right side
    18,632x = 1,534,758,976
  5. Step 5: Solve for x
    x = 1,534,758,976/18,632
  6. Step 6: Final answer
    x = 82,372.21

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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.