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Finding the Third Proportional to 17,878 and 27,202

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Solution

The third proportional to 17,878 and 27,202 is: 41,388.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878 : 27,202 = 27,202 : x
  2. Step 2: Convert to fraction form
    17,878/27,202 = 27,202/x
  3. Step 3: Cross multiply
    17,878x = 27,202 × 27,202
  4. Step 4: Simplify right side
    17,878x = 739,948,804
  5. Step 5: Solve for x
    x = 739,948,804/17,878
  6. Step 6: Final answer
    x = 41,388.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.