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Finding the Third Proportional to 4,706 and 6,799

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Solution

The third proportional to 4,706 and 6,799 is: 9,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706 : 6,799 = 6,799 : x
  2. Step 2: Convert to fraction form
    4,706/6,799 = 6,799/x
  3. Step 3: Cross multiply
    4,706x = 6,799 × 6,799
  4. Step 4: Simplify right side
    4,706x = 46,226,401
  5. Step 5: Solve for x
    x = 46,226,401/4,706
  6. Step 6: Final answer
    x = 9,822.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.