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Finding the Third Proportional to 41,871 and 91,013

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Solution

The third proportional to 41,871 and 91,013 is: 197,830.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,871 : 91,013 = 91,013 : x
  2. Step 2: Convert to fraction form
    41,871/91,013 = 91,013/x
  3. Step 3: Cross multiply
    41,871x = 91,013 × 91,013
  4. Step 4: Simplify right side
    41,871x = 8,283,366,169
  5. Step 5: Solve for x
    x = 8,283,366,169/41,871
  6. Step 6: Final answer
    x = 197,830.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.