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Finding the Third Proportional to 17,466.05 and 37,698.75

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Solution

The third proportional to 17,466.05 and 37,698.75 is: 81,369.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,466.05 : 37,698.75 = 37,698.75 : x
  2. Step 2: Convert to fraction form
    17,466.05/37,698.75 = 37,698.75/x
  3. Step 3: Cross multiply
    17,466.05x = 37,698.75 × 37,698.75
  4. Step 4: Simplify right side
    17,466.05x = 1,421,195,751.56
  5. Step 5: Solve for x
    x = 1,421,195,751.56/17,466.05
  6. Step 6: Final answer
    x = 81,369.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.