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Finding the Third Proportional to 36,516.75 and 76,723.13

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Solution

The third proportional to 36,516.75 and 76,723.13 is: 161,198.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,516.75 : 76,723.13 = 76,723.13 : x
  2. Step 2: Convert to fraction form
    36,516.75/76,723.13 = 76,723.13/x
  3. Step 3: Cross multiply
    36,516.75x = 76,723.13 × 76,723.13
  4. Step 4: Simplify right side
    36,516.75x = 5,886,437,909.77
  5. Step 5: Solve for x
    x = 5,886,437,909.77/36,516.75
  6. Step 6: Final answer
    x = 161,198.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.