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Finding the Third Proportional to 14,751 and 25,974

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Solution

The third proportional to 14,751 and 25,974 is: 45,735.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,751 : 25,974 = 25,974 : x
  2. Step 2: Convert to fraction form
    14,751/25,974 = 25,974/x
  3. Step 3: Cross multiply
    14,751x = 25,974 × 25,974
  4. Step 4: Simplify right side
    14,751x = 674,648,676
  5. Step 5: Solve for x
    x = 674,648,676/14,751
  6. Step 6: Final answer
    x = 45,735.79

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.