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Finding the Third Proportional to 7,651.13 and 16,221.09

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Solution

The third proportional to 7,651.13 and 16,221.09 is: 34,390.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,651.13 : 16,221.09 = 16,221.09 : x
  2. Step 2: Convert to fraction form
    7,651.13/16,221.09 = 16,221.09/x
  3. Step 3: Cross multiply
    7,651.13x = 16,221.09 × 16,221.09
  4. Step 4: Simplify right side
    7,651.13x = 263,123,882.45
  5. Step 5: Solve for x
    x = 263,123,882.45/7,651.13
  6. Step 6: Final answer
    x = 34,390.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.