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Finding the Third Proportional to 3,622.64 and 7,634.46

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Solution

The third proportional to 3,622.64 and 7,634.46 is: 16,089.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.64 : 7,634.46 = 7,634.46 : x
  2. Step 2: Convert to fraction form
    3,622.64/7,634.46 = 7,634.46/x
  3. Step 3: Cross multiply
    3,622.64x = 7,634.46 × 7,634.46
  4. Step 4: Simplify right side
    3,622.64x = 58,284,993.81
  5. Step 5: Solve for x
    x = 58,284,993.81/3,622.64
  6. Step 6: Final answer
    x = 16,089.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.