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Finding the Third Proportional to 18,196 and 28,191

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Solution

The third proportional to 18,196 and 28,191 is: 43,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,196 : 28,191 = 28,191 : x
  2. Step 2: Convert to fraction form
    18,196/28,191 = 28,191/x
  3. Step 3: Cross multiply
    18,196x = 28,191 × 28,191
  4. Step 4: Simplify right side
    18,196x = 794,732,481
  5. Step 5: Solve for x
    x = 794,732,481/18,196
  6. Step 6: Final answer
    x = 43,676.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.