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Finding the Third Proportional to 11,584 and 27,104

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Solution

The third proportional to 11,584 and 27,104 is: 63,417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584 : 27,104 = 27,104 : x
  2. Step 2: Convert to fraction form
    11,584/27,104 = 27,104/x
  3. Step 3: Cross multiply
    11,584x = 27,104 × 27,104
  4. Step 4: Simplify right side
    11,584x = 734,626,816
  5. Step 5: Solve for x
    x = 734,626,816/11,584
  6. Step 6: Final answer
    x = 63,417.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.