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Finding the Third Proportional to 6,971.06 and 15,223.57

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Solution

The third proportional to 6,971.06 and 15,223.57 is: 33,245.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.06 : 15,223.57 = 15,223.57 : x
  2. Step 2: Convert to fraction form
    6,971.06/15,223.57 = 15,223.57/x
  3. Step 3: Cross multiply
    6,971.06x = 15,223.57 × 15,223.57
  4. Step 4: Simplify right side
    6,971.06x = 231,757,093.06
  5. Step 5: Solve for x
    x = 231,757,093.06/6,971.06
  6. Step 6: Final answer
    x = 33,245.59

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Why These Related Problems?

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