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Finding the Third Proportional to 11,640 and 27,660

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Solution

The third proportional to 11,640 and 27,660 is: 65,728.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640 : 27,660 = 27,660 : x
  2. Step 2: Convert to fraction form
    11,640/27,660 = 27,660/x
  3. Step 3: Cross multiply
    11,640x = 27,660 × 27,660
  4. Step 4: Simplify right side
    11,640x = 765,075,600
  5. Step 5: Solve for x
    x = 765,075,600/11,640
  6. Step 6: Final answer
    x = 65,728.14

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.