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Finding the Third Proportional to 36,949 and 58,517

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Solution

The third proportional to 36,949 and 58,517 is: 92,674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,949 : 58,517 = 58,517 : x
  2. Step 2: Convert to fraction form
    36,949/58,517 = 58,517/x
  3. Step 3: Cross multiply
    36,949x = 58,517 × 58,517
  4. Step 4: Simplify right side
    36,949x = 3,424,239,289
  5. Step 5: Solve for x
    x = 3,424,239,289/36,949
  6. Step 6: Final answer
    x = 92,674.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.