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Finding the Third Proportional to 36,951.19 and 45,334.69

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Solution

The third proportional to 36,951.19 and 45,334.69 is: 55,620.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,951.19 : 45,334.69 = 45,334.69 : x
  2. Step 2: Convert to fraction form
    36,951.19/45,334.69 = 45,334.69/x
  3. Step 3: Cross multiply
    36,951.19x = 45,334.69 × 45,334.69
  4. Step 4: Simplify right side
    36,951.19x = 2,055,233,890.72
  5. Step 5: Solve for x
    x = 2,055,233,890.72/36,951.19
  6. Step 6: Final answer
    x = 55,620.24

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.