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Finding the Third Proportional to 11,199 and 23,549

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Solution

The third proportional to 11,199 and 23,549 is: 49,518.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199 : 23,549 = 23,549 : x
  2. Step 2: Convert to fraction form
    11,199/23,549 = 23,549/x
  3. Step 3: Cross multiply
    11,199x = 23,549 × 23,549
  4. Step 4: Simplify right side
    11,199x = 554,555,401
  5. Step 5: Solve for x
    x = 554,555,401/11,199
  6. Step 6: Final answer
    x = 49,518.30

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.