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Finding the Third Proportional to 36,512 and 74,754

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Solution

The third proportional to 36,512 and 74,754 is: 153,049.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,512 : 74,754 = 74,754 : x
  2. Step 2: Convert to fraction form
    36,512/74,754 = 74,754/x
  3. Step 3: Cross multiply
    36,512x = 74,754 × 74,754
  4. Step 4: Simplify right side
    36,512x = 5,588,160,516
  5. Step 5: Solve for x
    x = 5,588,160,516/36,512
  6. Step 6: Final answer
    x = 153,049.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.