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Finding the Third Proportional to 41,097.38 and 87,348.38

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Solution

The third proportional to 41,097.38 and 87,348.38 is: 185,650.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,097.38 : 87,348.38 = 87,348.38 : x
  2. Step 2: Convert to fraction form
    41,097.38/87,348.38 = 87,348.38/x
  3. Step 3: Cross multiply
    41,097.38x = 87,348.38 × 87,348.38
  4. Step 4: Simplify right side
    41,097.38x = 7,629,738,615.14
  5. Step 5: Solve for x
    x = 7,629,738,615.14/41,097.38
  6. Step 6: Final answer
    x = 185,650.27

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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.