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Finding the Third Proportional to 37,868 and 57,330

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Solution

The third proportional to 37,868 and 57,330 is: 86,794.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,868 : 57,330 = 57,330 : x
  2. Step 2: Convert to fraction form
    37,868/57,330 = 57,330/x
  3. Step 3: Cross multiply
    37,868x = 57,330 × 57,330
  4. Step 4: Simplify right side
    37,868x = 3,286,728,900
  5. Step 5: Solve for x
    x = 3,286,728,900/37,868
  6. Step 6: Final answer
    x = 86,794.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.