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Finding the Third Proportional to 30,668.63 and 44,992.97

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Solution

The third proportional to 30,668.63 and 44,992.97 is: 66,007.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,668.63 : 44,992.97 = 44,992.97 : x
  2. Step 2: Convert to fraction form
    30,668.63/44,992.97 = 44,992.97/x
  3. Step 3: Cross multiply
    30,668.63x = 44,992.97 × 44,992.97
  4. Step 4: Simplify right side
    30,668.63x = 2,024,367,236.94
  5. Step 5: Solve for x
    x = 2,024,367,236.94/30,668.63
  6. Step 6: Final answer
    x = 66,007.76

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.