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Finding the Third Proportional to 17,840 and 27,781

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Solution

The third proportional to 17,840 and 27,781 is: 43,261.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,840 : 27,781 = 27,781 : x
  2. Step 2: Convert to fraction form
    17,840/27,781 = 27,781/x
  3. Step 3: Cross multiply
    17,840x = 27,781 × 27,781
  4. Step 4: Simplify right side
    17,840x = 771,783,961
  5. Step 5: Solve for x
    x = 771,783,961/17,840
  6. Step 6: Final answer
    x = 43,261.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.