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Finding the Third Proportional to 27,871 and 54,343

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Solution

The third proportional to 27,871 and 54,343 is: 105,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,871 : 54,343 = 54,343 : x
  2. Step 2: Convert to fraction form
    27,871/54,343 = 54,343/x
  3. Step 3: Cross multiply
    27,871x = 54,343 × 54,343
  4. Step 4: Simplify right side
    27,871x = 2,953,161,649
  5. Step 5: Solve for x
    x = 2,953,161,649/27,871
  6. Step 6: Final answer
    x = 105,958.22

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.