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Finding the Third Proportional to 7,789 and 11,764

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Solution

The third proportional to 7,789 and 11,764 is: 17,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789 : 11,764 = 11,764 : x
  2. Step 2: Convert to fraction form
    7,789/11,764 = 11,764/x
  3. Step 3: Cross multiply
    7,789x = 11,764 × 11,764
  4. Step 4: Simplify right side
    7,789x = 138,391,696
  5. Step 5: Solve for x
    x = 138,391,696/7,789
  6. Step 6: Final answer
    x = 17,767.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.