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Finding the Third Proportional to 2,701 and 5,477

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Solution

The third proportional to 2,701 and 5,477 is: 11,106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701 : 5,477 = 5,477 : x
  2. Step 2: Convert to fraction form
    2,701/5,477 = 5,477/x
  3. Step 3: Cross multiply
    2,701x = 5,477 × 5,477
  4. Step 4: Simplify right side
    2,701x = 29,997,529
  5. Step 5: Solve for x
    x = 29,997,529/2,701
  6. Step 6: Final answer
    x = 11,106.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.