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Finding the Third Proportional to 36,401.63 and 56,546.44

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Solution

The third proportional to 36,401.63 and 56,546.44 is: 87,839.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,401.63 : 56,546.44 = 56,546.44 : x
  2. Step 2: Convert to fraction form
    36,401.63/56,546.44 = 56,546.44/x
  3. Step 3: Cross multiply
    36,401.63x = 56,546.44 × 56,546.44
  4. Step 4: Simplify right side
    36,401.63x = 3,197,499,593.94
  5. Step 5: Solve for x
    x = 3,197,499,593.94/36,401.63
  6. Step 6: Final answer
    x = 87,839.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.