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Finding the Third Proportional to 18,164 and 38,632

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Solution

The third proportional to 18,164 and 38,632 is: 82,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,164 : 38,632 = 38,632 : x
  2. Step 2: Convert to fraction form
    18,164/38,632 = 38,632/x
  3. Step 3: Cross multiply
    18,164x = 38,632 × 38,632
  4. Step 4: Simplify right side
    18,164x = 1,492,431,424
  5. Step 5: Solve for x
    x = 1,492,431,424/18,164
  6. Step 6: Final answer
    x = 82,164.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.