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Finding the Third Proportional to 27,834 and 43,106

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Solution

The third proportional to 27,834 and 43,106 is: 66,757.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,834 : 43,106 = 43,106 : x
  2. Step 2: Convert to fraction form
    27,834/43,106 = 43,106/x
  3. Step 3: Cross multiply
    27,834x = 43,106 × 43,106
  4. Step 4: Simplify right side
    27,834x = 1,858,127,236
  5. Step 5: Solve for x
    x = 1,858,127,236/27,834
  6. Step 6: Final answer
    x = 66,757.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.