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Finding the Third Proportional to 21,087.84 and 44,546.20

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Solution

The third proportional to 21,087.84 and 44,546.20 is: 94,099.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,087.84 : 44,546.20 = 44,546.20 : x
  2. Step 2: Convert to fraction form
    21,087.84/44,546.20 = 44,546.20/x
  3. Step 3: Cross multiply
    21,087.84x = 44,546.20 × 44,546.20
  4. Step 4: Simplify right side
    21,087.84x = 1,984,364,212.85
  5. Step 5: Solve for x
    x = 1,984,364,212.85/21,087.84
  6. Step 6: Final answer
    x = 94,099.91

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Why These Related Problems?

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