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Finding the Third Proportional to 27,769 and 40,923

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Solution

The third proportional to 27,769 and 40,923 is: 60,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,769 : 40,923 = 40,923 : x
  2. Step 2: Convert to fraction form
    27,769/40,923 = 40,923/x
  3. Step 3: Cross multiply
    27,769x = 40,923 × 40,923
  4. Step 4: Simplify right side
    27,769x = 1,674,691,929
  5. Step 5: Solve for x
    x = 1,674,691,929/27,769
  6. Step 6: Final answer
    x = 60,307.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.