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Finding the Third Proportional to 4,074.05 and 8,822.67

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Solution

The third proportional to 4,074.05 and 8,822.67 is: 19,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.05 : 8,822.67 = 8,822.67 : x
  2. Step 2: Convert to fraction form
    4,074.05/8,822.67 = 8,822.67/x
  3. Step 3: Cross multiply
    4,074.05x = 8,822.67 × 8,822.67
  4. Step 4: Simplify right side
    4,074.05x = 77,839,539.01
  5. Step 5: Solve for x
    x = 77,839,539.01/4,074.05
  6. Step 6: Final answer
    x = 19,106.20

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Why These Related Problems?

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