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Finding the Third Proportional to 25,496.81 and 35,841.75

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Solution

The third proportional to 25,496.81 and 35,841.75 is: 50,383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,496.81 : 35,841.75 = 35,841.75 : x
  2. Step 2: Convert to fraction form
    25,496.81/35,841.75 = 35,841.75/x
  3. Step 3: Cross multiply
    25,496.81x = 35,841.75 × 35,841.75
  4. Step 4: Simplify right side
    25,496.81x = 1,284,631,043.06
  5. Step 5: Solve for x
    x = 1,284,631,043.06/25,496.81
  6. Step 6: Final answer
    x = 50,383.99

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.