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Finding the Third Proportional to 17,838 and 27,969

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Solution

The third proportional to 17,838 and 27,969 is: 43,853.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,838 : 27,969 = 27,969 : x
  2. Step 2: Convert to fraction form
    17,838/27,969 = 27,969/x
  3. Step 3: Cross multiply
    17,838x = 27,969 × 27,969
  4. Step 4: Simplify right side
    17,838x = 782,264,961
  5. Step 5: Solve for x
    x = 782,264,961/17,838
  6. Step 6: Final answer
    x = 43,853.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.