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Finding the Third Proportional to 18,871 and 41,023

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Solution

The third proportional to 18,871 and 41,023 is: 89,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,871 : 41,023 = 41,023 : x
  2. Step 2: Convert to fraction form
    18,871/41,023 = 41,023/x
  3. Step 3: Cross multiply
    18,871x = 41,023 × 41,023
  4. Step 4: Simplify right side
    18,871x = 1,682,886,529
  5. Step 5: Solve for x
    x = 1,682,886,529/18,871
  6. Step 6: Final answer
    x = 89,178.45

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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.