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Finding the Third Proportional to 28,102 and 37,589

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Solution

The third proportional to 28,102 and 37,589 is: 50,278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,102 : 37,589 = 37,589 : x
  2. Step 2: Convert to fraction form
    28,102/37,589 = 37,589/x
  3. Step 3: Cross multiply
    28,102x = 37,589 × 37,589
  4. Step 4: Simplify right side
    28,102x = 1,412,932,921
  5. Step 5: Solve for x
    x = 1,412,932,921/28,102
  6. Step 6: Final answer
    x = 50,278.73

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.