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Finding the Third Proportional to 25,758 and 39,177

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Solution

The third proportional to 25,758 and 39,177 is: 59,586.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,758 : 39,177 = 39,177 : x
  2. Step 2: Convert to fraction form
    25,758/39,177 = 39,177/x
  3. Step 3: Cross multiply
    25,758x = 39,177 × 39,177
  4. Step 4: Simplify right side
    25,758x = 1,534,837,329
  5. Step 5: Solve for x
    x = 1,534,837,329/25,758
  6. Step 6: Final answer
    x = 59,586.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.