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Finding the Third Proportional to 6,995.75 and 15,222.25

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Solution

The third proportional to 6,995.75 and 15,222.25 is: 33,122.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.75 : 15,222.25 = 15,222.25 : x
  2. Step 2: Convert to fraction form
    6,995.75/15,222.25 = 15,222.25/x
  3. Step 3: Cross multiply
    6,995.75x = 15,222.25 × 15,222.25
  4. Step 4: Simplify right side
    6,995.75x = 231,716,895.06
  5. Step 5: Solve for x
    x = 231,716,895.06/6,995.75
  6. Step 6: Final answer
    x = 33,122.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.