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Finding the Third Proportional to 25,177 and 35,293

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Solution

The third proportional to 25,177 and 35,293 is: 49,473.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,177 : 35,293 = 35,293 : x
  2. Step 2: Convert to fraction form
    25,177/35,293 = 35,293/x
  3. Step 3: Cross multiply
    25,177x = 35,293 × 35,293
  4. Step 4: Simplify right side
    25,177x = 1,245,595,849
  5. Step 5: Solve for x
    x = 1,245,595,849/25,177
  6. Step 6: Final answer
    x = 49,473.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.