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Finding the Third Proportional to 41,007.94 and 64,245.66

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Solution

The third proportional to 41,007.94 and 64,245.66 is: 100,651.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,007.94 : 64,245.66 = 64,245.66 : x
  2. Step 2: Convert to fraction form
    41,007.94/64,245.66 = 64,245.66/x
  3. Step 3: Cross multiply
    41,007.94x = 64,245.66 × 64,245.66
  4. Step 4: Simplify right side
    41,007.94x = 4,127,504,346.99
  5. Step 5: Solve for x
    x = 4,127,504,346.99/41,007.94
  6. Step 6: Final answer
    x = 100,651.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.