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Finding the Third Proportional to 18,497 and 40,449

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Solution

The third proportional to 18,497 and 40,449 is: 88,453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,497 : 40,449 = 40,449 : x
  2. Step 2: Convert to fraction form
    18,497/40,449 = 40,449/x
  3. Step 3: Cross multiply
    18,497x = 40,449 × 40,449
  4. Step 4: Simplify right side
    18,497x = 1,636,121,601
  5. Step 5: Solve for x
    x = 1,636,121,601/18,497
  6. Step 6: Final answer
    x = 88,453.35

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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.