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Finding the Third Proportional to 13,926.94 and 32,668.31

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Solution

The third proportional to 13,926.94 and 32,668.31 is: 76,629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,926.94 : 32,668.31 = 32,668.31 : x
  2. Step 2: Convert to fraction form
    13,926.94/32,668.31 = 32,668.31/x
  3. Step 3: Cross multiply
    13,926.94x = 32,668.31 × 32,668.31
  4. Step 4: Simplify right side
    13,926.94x = 1,067,218,641.60
  5. Step 5: Solve for x
    x = 1,067,218,641.60/13,926.94
  6. Step 6: Final answer
    x = 76,629.81

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.