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Finding the Third Proportional to 4,774 and 7,477

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Solution

The third proportional to 4,774 and 7,477 is: 11,710.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774 : 7,477 = 7,477 : x
  2. Step 2: Convert to fraction form
    4,774/7,477 = 7,477/x
  3. Step 3: Cross multiply
    4,774x = 7,477 × 7,477
  4. Step 4: Simplify right side
    4,774x = 55,905,529
  5. Step 5: Solve for x
    x = 55,905,529/4,774
  6. Step 6: Final answer
    x = 11,710.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.