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Finding the Third Proportional to 6,971.63 and 15,213.38

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Solution

The third proportional to 6,971.63 and 15,213.38 is: 33,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.63 : 15,213.38 = 15,213.38 : x
  2. Step 2: Convert to fraction form
    6,971.63/15,213.38 = 15,213.38/x
  3. Step 3: Cross multiply
    6,971.63x = 15,213.38 × 15,213.38
  4. Step 4: Simplify right side
    6,971.63x = 231,446,778.89
  5. Step 5: Solve for x
    x = 231,446,778.89/6,971.63
  6. Step 6: Final answer
    x = 33,198.40

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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.