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Finding the Third Proportional to 25,755.75 and 54,325.13

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Solution

The third proportional to 25,755.75 and 54,325.13 is: 114,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,755.75 : 54,325.13 = 54,325.13 : x
  2. Step 2: Convert to fraction form
    25,755.75/54,325.13 = 54,325.13/x
  3. Step 3: Cross multiply
    25,755.75x = 54,325.13 × 54,325.13
  4. Step 4: Simplify right side
    25,755.75x = 2,951,219,206.27
  5. Step 5: Solve for x
    x = 2,951,219,206.27/25,755.75
  6. Step 6: Final answer
    x = 114,584.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.