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Finding the Third Proportional to 10,974 and 16,440

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Solution

The third proportional to 10,974 and 16,440 is: 24,628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974 : 16,440 = 16,440 : x
  2. Step 2: Convert to fraction form
    10,974/16,440 = 16,440/x
  3. Step 3: Cross multiply
    10,974x = 16,440 × 16,440
  4. Step 4: Simplify right side
    10,974x = 270,273,600
  5. Step 5: Solve for x
    x = 270,273,600/10,974
  6. Step 6: Final answer
    x = 24,628.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.