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Finding the Third Proportional to 18,593 and 40,603

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Solution

The third proportional to 18,593 and 40,603 is: 88,667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,593 : 40,603 = 40,603 : x
  2. Step 2: Convert to fraction form
    18,593/40,603 = 40,603/x
  3. Step 3: Cross multiply
    18,593x = 40,603 × 40,603
  4. Step 4: Simplify right side
    18,593x = 1,648,603,609
  5. Step 5: Solve for x
    x = 1,648,603,609/18,593
  6. Step 6: Final answer
    x = 88,667.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.