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Finding the Third Proportional to 3,456 and 7,495.25

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Solution

The third proportional to 3,456 and 7,495.25 is: 16,255.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456 : 7,495.25 = 7,495.25 : x
  2. Step 2: Convert to fraction form
    3,456/7,495.25 = 7,495.25/x
  3. Step 3: Cross multiply
    3,456x = 7,495.25 × 7,495.25
  4. Step 4: Simplify right side
    3,456x = 56,178,772.56
  5. Step 5: Solve for x
    x = 56,178,772.56/3,456
  6. Step 6: Final answer
    x = 16,255.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.