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Finding the Third Proportional to 17,824 and 27,596

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Solution

The third proportional to 17,824 and 27,596 is: 42,725.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824 : 27,596 = 27,596 : x
  2. Step 2: Convert to fraction form
    17,824/27,596 = 27,596/x
  3. Step 3: Cross multiply
    17,824x = 27,596 × 27,596
  4. Step 4: Simplify right side
    17,824x = 761,539,216
  5. Step 5: Solve for x
    x = 761,539,216/17,824
  6. Step 6: Final answer
    x = 42,725.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.