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Finding the Third Proportional to 11,947 and 25,477

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Solution

The third proportional to 11,947 and 25,477 is: 54,329.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947 : 25,477 = 25,477 : x
  2. Step 2: Convert to fraction form
    11,947/25,477 = 25,477/x
  3. Step 3: Cross multiply
    11,947x = 25,477 × 25,477
  4. Step 4: Simplify right side
    11,947x = 649,077,529
  5. Step 5: Solve for x
    x = 649,077,529/11,947
  6. Step 6: Final answer
    x = 54,329.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.