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Finding the Third Proportional to 1,977 and 4,611

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Solution

The third proportional to 1,977 and 4,611 is: 10,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977 : 4,611 = 4,611 : x
  2. Step 2: Convert to fraction form
    1,977/4,611 = 4,611/x
  3. Step 3: Cross multiply
    1,977x = 4,611 × 4,611
  4. Step 4: Simplify right side
    1,977x = 21,261,321
  5. Step 5: Solve for x
    x = 21,261,321/1,977
  6. Step 6: Final answer
    x = 10,754.34

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.