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Finding the Third Proportional to 51,421.50 and 76,923

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Solution

The third proportional to 51,421.50 and 76,923 is: 115,071.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,421.50 : 76,923 = 76,923 : x
  2. Step 2: Convert to fraction form
    51,421.50/76,923 = 76,923/x
  3. Step 3: Cross multiply
    51,421.50x = 76,923 × 76,923
  4. Step 4: Simplify right side
    51,421.50x = 5,917,147,929
  5. Step 5: Solve for x
    x = 5,917,147,929/51,421.50
  6. Step 6: Final answer
    x = 115,071.48

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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.