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Finding the Third Proportional to 19,179 and 41,844.38

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Solution

The third proportional to 19,179 and 41,844.38 is: 91,295.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,179 : 41,844.38 = 41,844.38 : x
  2. Step 2: Convert to fraction form
    19,179/41,844.38 = 41,844.38/x
  3. Step 3: Cross multiply
    19,179x = 41,844.38 × 41,844.38
  4. Step 4: Simplify right side
    19,179x = 1,750,951,719.14
  5. Step 5: Solve for x
    x = 1,750,951,719.14/19,179
  6. Step 6: Final answer
    x = 91,295.26

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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.