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Finding the Third Proportional to 36,784.50 and 79,401

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Solution

The third proportional to 36,784.50 and 79,401 is: 171,390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,784.50 : 79,401 = 79,401 : x
  2. Step 2: Convert to fraction form
    36,784.50/79,401 = 79,401/x
  3. Step 3: Cross multiply
    36,784.50x = 79,401 × 79,401
  4. Step 4: Simplify right side
    36,784.50x = 6,304,518,801
  5. Step 5: Solve for x
    x = 6,304,518,801/36,784.50
  6. Step 6: Final answer
    x = 171,390.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.