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Finding the Third Proportional to 36,880 and 49,485

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Solution

The third proportional to 36,880 and 49,485 is: 66,398.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,880 : 49,485 = 49,485 : x
  2. Step 2: Convert to fraction form
    36,880/49,485 = 49,485/x
  3. Step 3: Cross multiply
    36,880x = 49,485 × 49,485
  4. Step 4: Simplify right side
    36,880x = 2,448,765,225
  5. Step 5: Solve for x
    x = 2,448,765,225/36,880
  6. Step 6: Final answer
    x = 66,398.19

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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.