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Finding the Third Proportional to 27,698 and 43,563

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Solution

The third proportional to 27,698 and 43,563 is: 68,515.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,698 : 43,563 = 43,563 : x
  2. Step 2: Convert to fraction form
    27,698/43,563 = 43,563/x
  3. Step 3: Cross multiply
    27,698x = 43,563 × 43,563
  4. Step 4: Simplify right side
    27,698x = 1,897,734,969
  5. Step 5: Solve for x
    x = 1,897,734,969/27,698
  6. Step 6: Final answer
    x = 68,515.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.