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Finding the Third Proportional to 18,164 and 39,197

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Solution

The third proportional to 18,164 and 39,197 is: 84,585.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,164 : 39,197 = 39,197 : x
  2. Step 2: Convert to fraction form
    18,164/39,197 = 39,197/x
  3. Step 3: Cross multiply
    18,164x = 39,197 × 39,197
  4. Step 4: Simplify right side
    18,164x = 1,536,404,809
  5. Step 5: Solve for x
    x = 1,536,404,809/18,164
  6. Step 6: Final answer
    x = 84,585.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.