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Finding the Third Proportional to 4,424.25 and 6,453.75

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Solution

The third proportional to 4,424.25 and 6,453.75 is: 9,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,424.25 : 6,453.75 = 6,453.75 : x
  2. Step 2: Convert to fraction form
    4,424.25/6,453.75 = 6,453.75/x
  3. Step 3: Cross multiply
    4,424.25x = 6,453.75 × 6,453.75
  4. Step 4: Simplify right side
    4,424.25x = 41,650,889.06
  5. Step 5: Solve for x
    x = 41,650,889.06/4,424.25
  6. Step 6: Final answer
    x = 9,414.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.