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Finding the Third Proportional to 16,982.16 and 39,958.31

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Solution

The third proportional to 16,982.16 and 39,958.31 is: 94,020.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,982.16 : 39,958.31 = 39,958.31 : x
  2. Step 2: Convert to fraction form
    16,982.16/39,958.31 = 39,958.31/x
  3. Step 3: Cross multiply
    16,982.16x = 39,958.31 × 39,958.31
  4. Step 4: Simplify right side
    16,982.16x = 1,596,666,737.85
  5. Step 5: Solve for x
    x = 1,596,666,737.85/16,982.16
  6. Step 6: Final answer
    x = 94,020.26

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.