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Finding the Third Proportional to 6,345.84 and 13,383.98

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Solution

The third proportional to 6,345.84 and 13,383.98 is: 28,228.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.84 : 13,383.98 = 13,383.98 : x
  2. Step 2: Convert to fraction form
    6,345.84/13,383.98 = 13,383.98/x
  3. Step 3: Cross multiply
    6,345.84x = 13,383.98 × 13,383.98
  4. Step 4: Simplify right side
    6,345.84x = 179,131,037.75
  5. Step 5: Solve for x
    x = 179,131,037.75/6,345.84
  6. Step 6: Final answer
    x = 28,228.09

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.