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Finding the Third Proportional to 36,469.50 and 78,519

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Solution

The third proportional to 36,469.50 and 78,519 is: 169,051.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,469.50 : 78,519 = 78,519 : x
  2. Step 2: Convert to fraction form
    36,469.50/78,519 = 78,519/x
  3. Step 3: Cross multiply
    36,469.50x = 78,519 × 78,519
  4. Step 4: Simplify right side
    36,469.50x = 6,165,233,361
  5. Step 5: Solve for x
    x = 6,165,233,361/36,469.50
  6. Step 6: Final answer
    x = 169,051.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.