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Finding the Third Proportional to 5,212.50 and 11,495.25

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Solution

The third proportional to 5,212.50 and 11,495.25 is: 25,350.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.50 : 11,495.25 = 11,495.25 : x
  2. Step 2: Convert to fraction form
    5,212.50/11,495.25 = 11,495.25/x
  3. Step 3: Cross multiply
    5,212.50x = 11,495.25 × 11,495.25
  4. Step 4: Simplify right side
    5,212.50x = 132,140,772.56
  5. Step 5: Solve for x
    x = 132,140,772.56/5,212.50
  6. Step 6: Final answer
    x = 25,350.75

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.