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Finding the Third Proportional to 4,213 and 8,911

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Solution

The third proportional to 4,213 and 8,911 is: 18,847.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213 : 8,911 = 8,911 : x
  2. Step 2: Convert to fraction form
    4,213/8,911 = 8,911/x
  3. Step 3: Cross multiply
    4,213x = 8,911 × 8,911
  4. Step 4: Simplify right side
    4,213x = 79,405,921
  5. Step 5: Solve for x
    x = 79,405,921/4,213
  6. Step 6: Final answer
    x = 18,847.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.