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Finding the Third Proportional to 6,441 and 12,477

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Solution

The third proportional to 6,441 and 12,477 is: 24,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441 : 12,477 = 12,477 : x
  2. Step 2: Convert to fraction form
    6,441/12,477 = 12,477/x
  3. Step 3: Cross multiply
    6,441x = 12,477 × 12,477
  4. Step 4: Simplify right side
    6,441x = 155,675,529
  5. Step 5: Solve for x
    x = 155,675,529/6,441
  6. Step 6: Final answer
    x = 24,169.47

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.