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Finding the Third Proportional to 19,264 and 30,799

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Solution

The third proportional to 19,264 and 30,799 is: 49,240.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,264 : 30,799 = 30,799 : x
  2. Step 2: Convert to fraction form
    19,264/30,799 = 30,799/x
  3. Step 3: Cross multiply
    19,264x = 30,799 × 30,799
  4. Step 4: Simplify right side
    19,264x = 948,578,401
  5. Step 5: Solve for x
    x = 948,578,401/19,264
  6. Step 6: Final answer
    x = 49,240.99

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.