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Finding the Third Proportional to 4,257.56 and 6,478.31

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Solution

The third proportional to 4,257.56 and 6,478.31 is: 9,857.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.56 : 6,478.31 = 6,478.31 : x
  2. Step 2: Convert to fraction form
    4,257.56/6,478.31 = 6,478.31/x
  3. Step 3: Cross multiply
    4,257.56x = 6,478.31 × 6,478.31
  4. Step 4: Simplify right side
    4,257.56x = 41,968,532.85
  5. Step 5: Solve for x
    x = 41,968,532.85/4,257.56
  6. Step 6: Final answer
    x = 9,857.41

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.