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Finding the Third Proportional to 41,837.63 and 91,967.63

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Solution

The third proportional to 41,837.63 and 91,967.63 is: 202,163.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,837.63 : 91,967.63 = 91,967.63 : x
  2. Step 2: Convert to fraction form
    41,837.63/91,967.63 = 91,967.63/x
  3. Step 3: Cross multiply
    41,837.63x = 91,967.63 × 91,967.63
  4. Step 4: Simplify right side
    41,837.63x = 8,458,044,048.14
  5. Step 5: Solve for x
    x = 8,458,044,048.14/41,837.63
  6. Step 6: Final answer
    x = 202,163.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.