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Finding the Third Proportional to 7,883 and 11,669

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Solution

The third proportional to 7,883 and 11,669 is: 17,273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883 : 11,669 = 11,669 : x
  2. Step 2: Convert to fraction form
    7,883/11,669 = 11,669/x
  3. Step 3: Cross multiply
    7,883x = 11,669 × 11,669
  4. Step 4: Simplify right side
    7,883x = 136,165,561
  5. Step 5: Solve for x
    x = 136,165,561/7,883
  6. Step 6: Final answer
    x = 17,273.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.