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Finding the Third Proportional to 18,020.25 and 41,477.63

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Solution

The third proportional to 18,020.25 and 41,477.63 is: 95,470.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,020.25 : 41,477.63 = 41,477.63 : x
  2. Step 2: Convert to fraction form
    18,020.25/41,477.63 = 41,477.63/x
  3. Step 3: Cross multiply
    18,020.25x = 41,477.63 × 41,477.63
  4. Step 4: Simplify right side
    18,020.25x = 1,720,393,375.64
  5. Step 5: Solve for x
    x = 1,720,393,375.64/18,020.25
  6. Step 6: Final answer
    x = 95,470.01

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.