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Finding the Third Proportional to 7,627 and 11,886

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Solution

The third proportional to 7,627 and 11,886 is: 18,523.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627 : 11,886 = 11,886 : x
  2. Step 2: Convert to fraction form
    7,627/11,886 = 11,886/x
  3. Step 3: Cross multiply
    7,627x = 11,886 × 11,886
  4. Step 4: Simplify right side
    7,627x = 141,276,996
  5. Step 5: Solve for x
    x = 141,276,996/7,627
  6. Step 6: Final answer
    x = 18,523.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.