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Finding the Third Proportional to 5,983.88 and 13,103.44

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Solution

The third proportional to 5,983.88 and 13,103.44 is: 28,693.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.88 : 13,103.44 = 13,103.44 : x
  2. Step 2: Convert to fraction form
    5,983.88/13,103.44 = 13,103.44/x
  3. Step 3: Cross multiply
    5,983.88x = 13,103.44 × 13,103.44
  4. Step 4: Simplify right side
    5,983.88x = 171,700,074.32
  5. Step 5: Solve for x
    x = 171,700,074.32/5,983.88
  6. Step 6: Final answer
    x = 28,693.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.