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Finding the Third Proportional to 19,059 and 41,298

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Solution

The third proportional to 19,059 and 41,298 is: 89,486.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,059 : 41,298 = 41,298 : x
  2. Step 2: Convert to fraction form
    19,059/41,298 = 41,298/x
  3. Step 3: Cross multiply
    19,059x = 41,298 × 41,298
  4. Step 4: Simplify right side
    19,059x = 1,705,524,804
  5. Step 5: Solve for x
    x = 1,705,524,804/19,059
  6. Step 6: Final answer
    x = 89,486.58

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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.