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Finding the Third Proportional to 36,840 and 50,022

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Solution

The third proportional to 36,840 and 50,022 is: 67,920.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,840 : 50,022 = 50,022 : x
  2. Step 2: Convert to fraction form
    36,840/50,022 = 50,022/x
  3. Step 3: Cross multiply
    36,840x = 50,022 × 50,022
  4. Step 4: Simplify right side
    36,840x = 2,502,200,484
  5. Step 5: Solve for x
    x = 2,502,200,484/36,840
  6. Step 6: Final answer
    x = 67,920.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.