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Finding the Third Proportional to 37,923.19 and 54,625.64

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Solution

The third proportional to 37,923.19 and 54,625.64 is: 78,684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,923.19 : 54,625.64 = 54,625.64 : x
  2. Step 2: Convert to fraction form
    37,923.19/54,625.64 = 54,625.64/x
  3. Step 3: Cross multiply
    37,923.19x = 54,625.64 × 54,625.64
  4. Step 4: Simplify right side
    37,923.19x = 2,983,960,613.69
  5. Step 5: Solve for x
    x = 2,983,960,613.69/37,923.19
  6. Step 6: Final answer
    x = 78,684.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.