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Finding the Third Proportional to 32,394.94 and 41,393.53

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Solution

The third proportional to 32,394.94 and 41,393.53 is: 52,891.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,394.94 : 41,393.53 = 41,393.53 : x
  2. Step 2: Convert to fraction form
    32,394.94/41,393.53 = 41,393.53/x
  3. Step 3: Cross multiply
    32,394.94x = 41,393.53 × 41,393.53
  4. Step 4: Simplify right side
    32,394.94x = 1,713,424,429.34
  5. Step 5: Solve for x
    x = 1,713,424,429.34/32,394.94
  6. Step 6: Final answer
    x = 52,891.73

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.