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Finding the Third Proportional to 25,998 and 37,177

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Solution

The third proportional to 25,998 and 37,177 is: 53,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,998 : 37,177 = 37,177 : x
  2. Step 2: Convert to fraction form
    25,998/37,177 = 37,177/x
  3. Step 3: Cross multiply
    25,998x = 37,177 × 37,177
  4. Step 4: Simplify right side
    25,998x = 1,382,129,329
  5. Step 5: Solve for x
    x = 1,382,129,329/25,998
  6. Step 6: Final answer
    x = 53,162.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.