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Finding the Third Proportional to 25,993.50 and 37,172

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Solution

The third proportional to 25,993.50 and 37,172 is: 53,157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,993.50 : 37,172 = 37,172 : x
  2. Step 2: Convert to fraction form
    25,993.50/37,172 = 37,172/x
  3. Step 3: Cross multiply
    25,993.50x = 37,172 × 37,172
  4. Step 4: Simplify right side
    25,993.50x = 1,381,757,584
  5. Step 5: Solve for x
    x = 1,381,757,584/25,993.50
  6. Step 6: Final answer
    x = 53,157.81

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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.