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Finding the Third Proportional to 12,106.97 and 25,679.53

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Solution

The third proportional to 12,106.97 and 25,679.53 is: 54,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.97 : 25,679.53 = 25,679.53 : x
  2. Step 2: Convert to fraction form
    12,106.97/25,679.53 = 25,679.53/x
  3. Step 3: Cross multiply
    12,106.97x = 25,679.53 × 25,679.53
  4. Step 4: Simplify right side
    12,106.97x = 659,438,325.22
  5. Step 5: Solve for x
    x = 659,438,325.22/12,106.97
  6. Step 6: Final answer
    x = 54,467.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.