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Finding the Third Proportional to 23,898 and 37,125

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Solution

The third proportional to 23,898 and 37,125 is: 57,672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,898 : 37,125 = 37,125 : x
  2. Step 2: Convert to fraction form
    23,898/37,125 = 37,125/x
  3. Step 3: Cross multiply
    23,898x = 37,125 × 37,125
  4. Step 4: Simplify right side
    23,898x = 1,378,265,625
  5. Step 5: Solve for x
    x = 1,378,265,625/23,898
  6. Step 6: Final answer
    x = 57,672.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.