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Finding the Third Proportional to 11,785 and 25,647

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Solution

The third proportional to 11,785 and 25,647 is: 55,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785 : 25,647 = 25,647 : x
  2. Step 2: Convert to fraction form
    11,785/25,647 = 25,647/x
  3. Step 3: Cross multiply
    11,785x = 25,647 × 25,647
  4. Step 4: Simplify right side
    11,785x = 657,768,609
  5. Step 5: Solve for x
    x = 657,768,609/11,785
  6. Step 6: Final answer
    x = 55,814.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.