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Finding the Third Proportional to 2,567 and 5,563

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Solution

The third proportional to 2,567 and 5,563 is: 12,055.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567 : 5,563 = 5,563 : x
  2. Step 2: Convert to fraction form
    2,567/5,563 = 5,563/x
  3. Step 3: Cross multiply
    2,567x = 5,563 × 5,563
  4. Step 4: Simplify right side
    2,567x = 30,946,969
  5. Step 5: Solve for x
    x = 30,946,969/2,567
  6. Step 6: Final answer
    x = 12,055.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.