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Finding the Third Proportional to 18,868 and 41,362

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Solution

The third proportional to 18,868 and 41,362 is: 90,672.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,868 : 41,362 = 41,362 : x
  2. Step 2: Convert to fraction form
    18,868/41,362 = 41,362/x
  3. Step 3: Cross multiply
    18,868x = 41,362 × 41,362
  4. Step 4: Simplify right side
    18,868x = 1,710,815,044
  5. Step 5: Solve for x
    x = 1,710,815,044/18,868
  6. Step 6: Final answer
    x = 90,672.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.