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Finding the Third Proportional to 6,228 and 10,455.75

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Solution

The third proportional to 6,228 and 10,455.75 is: 17,553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228 : 10,455.75 = 10,455.75 : x
  2. Step 2: Convert to fraction form
    6,228/10,455.75 = 10,455.75/x
  3. Step 3: Cross multiply
    6,228x = 10,455.75 × 10,455.75
  4. Step 4: Simplify right side
    6,228x = 109,322,708.06
  5. Step 5: Solve for x
    x = 109,322,708.06/6,228
  6. Step 6: Final answer
    x = 17,553.42

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These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.