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Finding the Third Proportional to 11,867 and 25,570

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Solution

The third proportional to 11,867 and 25,570 is: 55,096.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867 : 25,570 = 25,570 : x
  2. Step 2: Convert to fraction form
    11,867/25,570 = 25,570/x
  3. Step 3: Cross multiply
    11,867x = 25,570 × 25,570
  4. Step 4: Simplify right side
    11,867x = 653,824,900
  5. Step 5: Solve for x
    x = 653,824,900/11,867
  6. Step 6: Final answer
    x = 55,096.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.