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Finding the Third Proportional to 7,821.56 and 16,162.03

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Solution

The third proportional to 7,821.56 and 16,162.03 is: 33,396.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.56 : 16,162.03 = 16,162.03 : x
  2. Step 2: Convert to fraction form
    7,821.56/16,162.03 = 16,162.03/x
  3. Step 3: Cross multiply
    7,821.56x = 16,162.03 × 16,162.03
  4. Step 4: Simplify right side
    7,821.56x = 261,211,254.13
  5. Step 5: Solve for x
    x = 261,211,254.13/7,821.56
  6. Step 6: Final answer
    x = 33,396.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.