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Finding the Third Proportional to 3,005.25 and 4,295.25

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Solution

The third proportional to 3,005.25 and 4,295.25 is: 6,138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.25 : 4,295.25 = 4,295.25 : x
  2. Step 2: Convert to fraction form
    3,005.25/4,295.25 = 4,295.25/x
  3. Step 3: Cross multiply
    3,005.25x = 4,295.25 × 4,295.25
  4. Step 4: Simplify right side
    3,005.25x = 18,449,172.56
  5. Step 5: Solve for x
    x = 18,449,172.56/3,005.25
  6. Step 6: Final answer
    x = 6,138.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.