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Finding the Third Proportional to 19,177 and 41,840.38

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Solution

The third proportional to 19,177 and 41,840.38 is: 91,287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,177 : 41,840.38 = 41,840.38 : x
  2. Step 2: Convert to fraction form
    19,177/41,840.38 = 41,840.38/x
  3. Step 3: Cross multiply
    19,177x = 41,840.38 × 41,840.38
  4. Step 4: Simplify right side
    19,177x = 1,750,616,980.14
  5. Step 5: Solve for x
    x = 1,750,616,980.14/19,177
  6. Step 6: Final answer
    x = 91,287.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.