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Finding the Third Proportional to 25,177 and 39,425

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Solution

The third proportional to 25,177 and 39,425 is: 61,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,177 : 39,425 = 39,425 : x
  2. Step 2: Convert to fraction form
    25,177/39,425 = 39,425/x
  3. Step 3: Cross multiply
    25,177x = 39,425 × 39,425
  4. Step 4: Simplify right side
    25,177x = 1,554,330,625
  5. Step 5: Solve for x
    x = 1,554,330,625/25,177
  6. Step 6: Final answer
    x = 61,736.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.