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Finding the Third Proportional to 11,788 and 24,764

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Solution

The third proportional to 11,788 and 24,764 is: 52,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788 : 24,764 = 24,764 : x
  2. Step 2: Convert to fraction form
    11,788/24,764 = 24,764/x
  3. Step 3: Cross multiply
    11,788x = 24,764 × 24,764
  4. Step 4: Simplify right side
    11,788x = 613,255,696
  5. Step 5: Solve for x
    x = 613,255,696/11,788
  6. Step 6: Final answer
    x = 52,023.73

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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.