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Finding the Third Proportional to 36,579.75 and 54,713.63

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Solution

The third proportional to 36,579.75 and 54,713.63 is: 81,837.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,579.75 : 54,713.63 = 54,713.63 : x
  2. Step 2: Convert to fraction form
    36,579.75/54,713.63 = 54,713.63/x
  3. Step 3: Cross multiply
    36,579.75x = 54,713.63 × 54,713.63
  4. Step 4: Simplify right side
    36,579.75x = 2,993,580,760.64
  5. Step 5: Solve for x
    x = 2,993,580,760.64/36,579.75
  6. Step 6: Final answer
    x = 81,837.10

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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.