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Finding the Third Proportional to 25,651.69 and 35,128.69

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Solution

The third proportional to 25,651.69 and 35,128.69 is: 48,106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,651.69 : 35,128.69 = 35,128.69 : x
  2. Step 2: Convert to fraction form
    25,651.69/35,128.69 = 35,128.69/x
  3. Step 3: Cross multiply
    25,651.69x = 35,128.69 × 35,128.69
  4. Step 4: Simplify right side
    25,651.69x = 1,234,024,685.47
  5. Step 5: Solve for x
    x = 1,234,024,685.47/25,651.69
  6. Step 6: Final answer
    x = 48,106.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.