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Finding the Third Proportional to 21,249 and 44,847

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Solution

The third proportional to 21,249 and 44,847 is: 94,651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,249 : 44,847 = 44,847 : x
  2. Step 2: Convert to fraction form
    21,249/44,847 = 44,847/x
  3. Step 3: Cross multiply
    21,249x = 44,847 × 44,847
  4. Step 4: Simplify right side
    21,249x = 2,011,253,409
  5. Step 5: Solve for x
    x = 2,011,253,409/21,249
  6. Step 6: Final answer
    x = 94,651.67

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.