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Finding the Third Proportional to 24,112 and 37,085

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Solution

The third proportional to 24,112 and 37,085 is: 57,037.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,112 : 37,085 = 37,085 : x
  2. Step 2: Convert to fraction form
    24,112/37,085 = 37,085/x
  3. Step 3: Cross multiply
    24,112x = 37,085 × 37,085
  4. Step 4: Simplify right side
    24,112x = 1,375,297,225
  5. Step 5: Solve for x
    x = 1,375,297,225/24,112
  6. Step 6: Final answer
    x = 57,037.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.