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Finding the Third Proportional to 5,582.25 and 12,821.63

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Solution

The third proportional to 5,582.25 and 12,821.63 is: 29,449.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.25 : 12,821.63 = 12,821.63 : x
  2. Step 2: Convert to fraction form
    5,582.25/12,821.63 = 12,821.63/x
  3. Step 3: Cross multiply
    5,582.25x = 12,821.63 × 12,821.63
  4. Step 4: Simplify right side
    5,582.25x = 164,394,067.64
  5. Step 5: Solve for x
    x = 164,394,067.64/5,582.25
  6. Step 6: Final answer
    x = 29,449.43

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.