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Finding the Third Proportional to 25,756 and 54,325.75

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Solution

The third proportional to 25,756 and 54,325.75 is: 114,586.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,756 : 54,325.75 = 54,325.75 : x
  2. Step 2: Convert to fraction form
    25,756/54,325.75 = 54,325.75/x
  3. Step 3: Cross multiply
    25,756x = 54,325.75 × 54,325.75
  4. Step 4: Simplify right side
    25,756x = 2,951,287,113.06
  5. Step 5: Solve for x
    x = 2,951,287,113.06/25,756
  6. Step 6: Final answer
    x = 114,586.39

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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.