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Finding the Third Proportional to 36,414 and 54,880

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Solution

The third proportional to 36,414 and 54,880 is: 82,710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,414 : 54,880 = 54,880 : x
  2. Step 2: Convert to fraction form
    36,414/54,880 = 54,880/x
  3. Step 3: Cross multiply
    36,414x = 54,880 × 54,880
  4. Step 4: Simplify right side
    36,414x = 3,011,814,400
  5. Step 5: Solve for x
    x = 3,011,814,400/36,414
  6. Step 6: Final answer
    x = 82,710.34

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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.