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Finding the Third Proportional to 1,645 and 3,563

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Solution

The third proportional to 1,645 and 3,563 is: 7,717.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645 : 3,563 = 3,563 : x
  2. Step 2: Convert to fraction form
    1,645/3,563 = 3,563/x
  3. Step 3: Cross multiply
    1,645x = 3,563 × 3,563
  4. Step 4: Simplify right side
    1,645x = 12,694,969
  5. Step 5: Solve for x
    x = 12,694,969/1,645
  6. Step 6: Final answer
    x = 7,717.31

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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.