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Finding the Third Proportional to 4,677 and 8,211

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Solution

The third proportional to 4,677 and 8,211 is: 14,415.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677 : 8,211 = 8,211 : x
  2. Step 2: Convert to fraction form
    4,677/8,211 = 8,211/x
  3. Step 3: Cross multiply
    4,677x = 8,211 × 8,211
  4. Step 4: Simplify right side
    4,677x = 67,420,521
  5. Step 5: Solve for x
    x = 67,420,521/4,677
  6. Step 6: Final answer
    x = 14,415.33

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.