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Finding the Third Proportional to 17,732 and 27,278

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Solution

The third proportional to 17,732 and 27,278 is: 41,963.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732 : 27,278 = 27,278 : x
  2. Step 2: Convert to fraction form
    17,732/27,278 = 27,278/x
  3. Step 3: Cross multiply
    17,732x = 27,278 × 27,278
  4. Step 4: Simplify right side
    17,732x = 744,089,284
  5. Step 5: Solve for x
    x = 744,089,284/17,732
  6. Step 6: Final answer
    x = 41,963.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.