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Finding the Third Proportional to 36,257.63 and 54,219.38

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Solution

The third proportional to 36,257.63 and 54,219.38 is: 81,079.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,257.63 : 54,219.38 = 54,219.38 : x
  2. Step 2: Convert to fraction form
    36,257.63/54,219.38 = 54,219.38/x
  3. Step 3: Cross multiply
    36,257.63x = 54,219.38 × 54,219.38
  4. Step 4: Simplify right side
    36,257.63x = 2,939,740,625.39
  5. Step 5: Solve for x
    x = 2,939,740,625.39/36,257.63
  6. Step 6: Final answer
    x = 81,079.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.