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Finding the Third Proportional to 36,842 and 50,025

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Solution

The third proportional to 36,842 and 50,025 is: 67,925.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,842 : 50,025 = 50,025 : x
  2. Step 2: Convert to fraction form
    36,842/50,025 = 50,025/x
  3. Step 3: Cross multiply
    36,842x = 50,025 × 50,025
  4. Step 4: Simplify right side
    36,842x = 2,502,500,625
  5. Step 5: Solve for x
    x = 2,502,500,625/36,842
  6. Step 6: Final answer
    x = 67,925.21

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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.