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Finding the Third Proportional to 12,025 and 25,690

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Solution

The third proportional to 12,025 and 25,690 is: 54,883.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,025 : 25,690 = 25,690 : x
  2. Step 2: Convert to fraction form
    12,025/25,690 = 25,690/x
  3. Step 3: Cross multiply
    12,025x = 25,690 × 25,690
  4. Step 4: Simplify right side
    12,025x = 659,976,100
  5. Step 5: Solve for x
    x = 659,976,100/12,025
  6. Step 6: Final answer
    x = 54,883.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.