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Finding the Third Proportional to 19,007 and 41,255

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Solution

The third proportional to 19,007 and 41,255 is: 89,544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,007 : 41,255 = 41,255 : x
  2. Step 2: Convert to fraction form
    19,007/41,255 = 41,255/x
  3. Step 3: Cross multiply
    19,007x = 41,255 × 41,255
  4. Step 4: Simplify right side
    19,007x = 1,701,975,025
  5. Step 5: Solve for x
    x = 1,701,975,025/19,007
  6. Step 6: Final answer
    x = 89,544.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.