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Finding the Third Proportional to 6,333.12 and 13,781.04

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Solution

The third proportional to 6,333.12 and 13,781.04 is: 29,987.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.12 : 13,781.04 = 13,781.04 : x
  2. Step 2: Convert to fraction form
    6,333.12/13,781.04 = 13,781.04/x
  3. Step 3: Cross multiply
    6,333.12x = 13,781.04 × 13,781.04
  4. Step 4: Simplify right side
    6,333.12x = 189,917,037.64
  5. Step 5: Solve for x
    x = 189,917,037.64/6,333.12
  6. Step 6: Final answer
    x = 29,987.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.