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Finding the Third Proportional to 7,222.75 and 15,523.25

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Solution

The third proportional to 7,222.75 and 15,523.25 is: 33,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.75 : 15,523.25 = 15,523.25 : x
  2. Step 2: Convert to fraction form
    7,222.75/15,523.25 = 15,523.25/x
  3. Step 3: Cross multiply
    7,222.75x = 15,523.25 × 15,523.25
  4. Step 4: Simplify right side
    7,222.75x = 240,971,290.56
  5. Step 5: Solve for x
    x = 240,971,290.56/7,222.75
  6. Step 6: Final answer
    x = 33,362.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.