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Finding the Third Proportional to 19,467 and 41,391

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Solution

The third proportional to 19,467 and 41,391 is: 88,006.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,467 : 41,391 = 41,391 : x
  2. Step 2: Convert to fraction form
    19,467/41,391 = 41,391/x
  3. Step 3: Cross multiply
    19,467x = 41,391 × 41,391
  4. Step 4: Simplify right side
    19,467x = 1,713,214,881
  5. Step 5: Solve for x
    x = 1,713,214,881/19,467
  6. Step 6: Final answer
    x = 88,006.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.