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Finding the Third Proportional to 11,400 and 27,596

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Solution

The third proportional to 11,400 and 27,596 is: 66,801.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,400 : 27,596 = 27,596 : x
  2. Step 2: Convert to fraction form
    11,400/27,596 = 27,596/x
  3. Step 3: Cross multiply
    11,400x = 27,596 × 27,596
  4. Step 4: Simplify right side
    11,400x = 761,539,216
  5. Step 5: Solve for x
    x = 761,539,216/11,400
  6. Step 6: Final answer
    x = 66,801.69

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.