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Finding the Third Proportional to 4,053.16 and 8,222.13

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Solution

The third proportional to 4,053.16 and 8,222.13 is: 16,679.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,053.16 : 8,222.13 = 8,222.13 : x
  2. Step 2: Convert to fraction form
    4,053.16/8,222.13 = 8,222.13/x
  3. Step 3: Cross multiply
    4,053.16x = 8,222.13 × 8,222.13
  4. Step 4: Simplify right side
    4,053.16x = 67,603,467.99
  5. Step 5: Solve for x
    x = 67,603,467.99/4,053.16
  6. Step 6: Final answer
    x = 16,679.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.