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Finding the Third Proportional to 7,682.98 and 16,022.81

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Solution

The third proportional to 7,682.98 and 16,022.81 is: 33,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.98 : 16,022.81 = 16,022.81 : x
  2. Step 2: Convert to fraction form
    7,682.98/16,022.81 = 16,022.81/x
  3. Step 3: Cross multiply
    7,682.98x = 16,022.81 × 16,022.81
  4. Step 4: Simplify right side
    7,682.98x = 256,730,520.41
  5. Step 5: Solve for x
    x = 256,730,520.41/7,682.98
  6. Step 6: Final answer
    x = 33,415.50

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.