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Finding the Third Proportional to 7,981.27 and 17,361.45

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Solution

The third proportional to 7,981.27 and 17,361.45 is: 37,765.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981.27 : 17,361.45 = 17,361.45 : x
  2. Step 2: Convert to fraction form
    7,981.27/17,361.45 = 17,361.45/x
  3. Step 3: Cross multiply
    7,981.27x = 17,361.45 × 17,361.45
  4. Step 4: Simplify right side
    7,981.27x = 301,419,885.07
  5. Step 5: Solve for x
    x = 301,419,885.07/7,981.27
  6. Step 6: Final answer
    x = 37,765.91

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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.