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Finding the Third Proportional to 17,071.50 and 37,533

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Solution

The third proportional to 17,071.50 and 37,533 is: 82,519.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,071.50 : 37,533 = 37,533 : x
  2. Step 2: Convert to fraction form
    17,071.50/37,533 = 37,533/x
  3. Step 3: Cross multiply
    17,071.50x = 37,533 × 37,533
  4. Step 4: Simplify right side
    17,071.50x = 1,408,726,089
  5. Step 5: Solve for x
    x = 1,408,726,089/17,071.50
  6. Step 6: Final answer
    x = 82,519.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.