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Finding the Third Proportional to 1,994.63 and 5,182.73

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Solution

The third proportional to 1,994.63 and 5,182.73 is: 13,466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.63 : 5,182.73 = 5,182.73 : x
  2. Step 2: Convert to fraction form
    1,994.63/5,182.73 = 5,182.73/x
  3. Step 3: Cross multiply
    1,994.63x = 5,182.73 × 5,182.73
  4. Step 4: Simplify right side
    1,994.63x = 26,860,735.60
  5. Step 5: Solve for x
    x = 26,860,735.60/1,994.63
  6. Step 6: Final answer
    x = 13,466.56

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.