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Finding the Third Proportional to 19,012 and 41,300

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Solution

The third proportional to 19,012 and 41,300 is: 89,716.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,012 : 41,300 = 41,300 : x
  2. Step 2: Convert to fraction form
    19,012/41,300 = 41,300/x
  3. Step 3: Cross multiply
    19,012x = 41,300 × 41,300
  4. Step 4: Simplify right side
    19,012x = 1,705,690,000
  5. Step 5: Solve for x
    x = 1,705,690,000/19,012
  6. Step 6: Final answer
    x = 89,716.49

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