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Finding the Third Proportional to 25,755.47 and 55,207.41

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Solution

The third proportional to 25,755.47 and 55,207.41 is: 118,338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,755.47 : 55,207.41 = 55,207.41 : x
  2. Step 2: Convert to fraction form
    25,755.47/55,207.41 = 55,207.41/x
  3. Step 3: Cross multiply
    25,755.47x = 55,207.41 × 55,207.41
  4. Step 4: Simplify right side
    25,755.47x = 3,047,857,704.85
  5. Step 5: Solve for x
    x = 3,047,857,704.85/25,755.47
  6. Step 6: Final answer
    x = 118,338.27

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.