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Finding the Third Proportional to 25,856.72 and 36,589.54

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Solution

The third proportional to 25,856.72 and 36,589.54 is: 51,777.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,856.72 : 36,589.54 = 36,589.54 : x
  2. Step 2: Convert to fraction form
    25,856.72/36,589.54 = 36,589.54/x
  3. Step 3: Cross multiply
    25,856.72x = 36,589.54 × 36,589.54
  4. Step 4: Simplify right side
    25,856.72x = 1,338,794,082.95
  5. Step 5: Solve for x
    x = 1,338,794,082.95/25,856.72
  6. Step 6: Final answer
    x = 51,777.42

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.