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Finding the Third Proportional to 5,627 and 11,614

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Solution

The third proportional to 5,627 and 11,614 is: 23,971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627 : 11,614 = 11,614 : x
  2. Step 2: Convert to fraction form
    5,627/11,614 = 11,614/x
  3. Step 3: Cross multiply
    5,627x = 11,614 × 11,614
  4. Step 4: Simplify right side
    5,627x = 134,884,996
  5. Step 5: Solve for x
    x = 134,884,996/5,627
  6. Step 6: Final answer
    x = 23,971.03

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.