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Finding the Third Proportional to 25,538.63 and 35,755.69

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Solution

The third proportional to 25,538.63 and 35,755.69 is: 50,060.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,538.63 : 35,755.69 = 35,755.69 : x
  2. Step 2: Convert to fraction form
    25,538.63/35,755.69 = 35,755.69/x
  3. Step 3: Cross multiply
    25,538.63x = 35,755.69 × 35,755.69
  4. Step 4: Simplify right side
    25,538.63x = 1,278,469,188.60
  5. Step 5: Solve for x
    x = 1,278,469,188.60/25,538.63
  6. Step 6: Final answer
    x = 50,060.22

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.