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Finding the Third Proportional to 2,428.73 and 5,245.17

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Solution

The third proportional to 2,428.73 and 5,245.17 is: 11,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.73 : 5,245.17 = 5,245.17 : x
  2. Step 2: Convert to fraction form
    2,428.73/5,245.17 = 5,245.17/x
  3. Step 3: Cross multiply
    2,428.73x = 5,245.17 × 5,245.17
  4. Step 4: Simplify right side
    2,428.73x = 27,511,828.00
  5. Step 5: Solve for x
    x = 27,511,828.00/2,428.73
  6. Step 6: Final answer
    x = 11,327.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.