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Finding the Third Proportional to 7,982.03 and 17,345.72

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Solution

The third proportional to 7,982.03 and 17,345.72 is: 37,693.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.03 : 17,345.72 = 17,345.72 : x
  2. Step 2: Convert to fraction form
    7,982.03/17,345.72 = 17,345.72/x
  3. Step 3: Cross multiply
    7,982.03x = 17,345.72 × 17,345.72
  4. Step 4: Simplify right side
    7,982.03x = 300,873,958.95
  5. Step 5: Solve for x
    x = 300,873,958.95/7,982.03
  6. Step 6: Final answer
    x = 37,693.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.