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Finding the Third Proportional to 11,863 and 25,190

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Solution

The third proportional to 11,863 and 25,190 is: 53,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863 : 25,190 = 25,190 : x
  2. Step 2: Convert to fraction form
    11,863/25,190 = 25,190/x
  3. Step 3: Cross multiply
    11,863x = 25,190 × 25,190
  4. Step 4: Simplify right side
    11,863x = 634,536,100
  5. Step 5: Solve for x
    x = 634,536,100/11,863
  6. Step 6: Final answer
    x = 53,488.67

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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.