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Finding the Third Proportional to 25,651.69 and 41,142.94

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Solution

The third proportional to 25,651.69 and 41,142.94 is: 65,989.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,651.69 : 41,142.94 = 41,142.94 : x
  2. Step 2: Convert to fraction form
    25,651.69/41,142.94 = 41,142.94/x
  3. Step 3: Cross multiply
    25,651.69x = 41,142.94 × 41,142.94
  4. Step 4: Simplify right side
    25,651.69x = 1,692,741,306.13
  5. Step 5: Solve for x
    x = 1,692,741,306.13/25,651.69
  6. Step 6: Final answer
    x = 65,989.47

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.