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Finding the Third Proportional to 41,485 and 91,034

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Solution

The third proportional to 41,485 and 91,034 is: 199,763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,485 : 91,034 = 91,034 : x
  2. Step 2: Convert to fraction form
    41,485/91,034 = 91,034/x
  3. Step 3: Cross multiply
    41,485x = 91,034 × 91,034
  4. Step 4: Simplify right side
    41,485x = 8,287,189,156
  5. Step 5: Solve for x
    x = 8,287,189,156/41,485
  6. Step 6: Final answer
    x = 199,763.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.