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Finding the Third Proportional to 36,972 and 52,074

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Solution

The third proportional to 36,972 and 52,074 is: 73,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,972 : 52,074 = 52,074 : x
  2. Step 2: Convert to fraction form
    36,972/52,074 = 52,074/x
  3. Step 3: Cross multiply
    36,972x = 52,074 × 52,074
  4. Step 4: Simplify right side
    36,972x = 2,711,701,476
  5. Step 5: Solve for x
    x = 2,711,701,476/36,972
  6. Step 6: Final answer
    x = 73,344.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.