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Finding the Third Proportional to 7,697.25 and 16,622.44

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Solution

The third proportional to 7,697.25 and 16,622.44 is: 35,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.25 : 16,622.44 = 16,622.44 : x
  2. Step 2: Convert to fraction form
    7,697.25/16,622.44 = 16,622.44/x
  3. Step 3: Cross multiply
    7,697.25x = 16,622.44 × 16,622.44
  4. Step 4: Simplify right side
    7,697.25x = 276,305,428.44
  5. Step 5: Solve for x
    x = 276,305,428.44/7,697.25
  6. Step 6: Final answer
    x = 35,896.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.