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Finding the Third Proportional to 30,664.69 and 82,622.81

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Solution

The third proportional to 30,664.69 and 82,622.81 is: 222,618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,664.69 : 82,622.81 = 82,622.81 : x
  2. Step 2: Convert to fraction form
    30,664.69/82,622.81 = 82,622.81/x
  3. Step 3: Cross multiply
    30,664.69x = 82,622.81 × 82,622.81
  4. Step 4: Simplify right side
    30,664.69x = 6,826,529,145.41
  5. Step 5: Solve for x
    x = 6,826,529,145.41/30,664.69
  6. Step 6: Final answer
    x = 222,618.58

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.