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Finding the Third Proportional to 3,977 and 4,705

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Solution

The third proportional to 3,977 and 4,705 is: 5,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977 : 4,705 = 4,705 : x
  2. Step 2: Convert to fraction form
    3,977/4,705 = 4,705/x
  3. Step 3: Cross multiply
    3,977x = 4,705 × 4,705
  4. Step 4: Simplify right side
    3,977x = 22,137,025
  5. Step 5: Solve for x
    x = 22,137,025/3,977
  6. Step 6: Final answer
    x = 5,566.26

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.