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Finding the Third Proportional to 17,350 and 40,911

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Solution

The third proportional to 17,350 and 40,911 is: 96,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,350 : 40,911 = 40,911 : x
  2. Step 2: Convert to fraction form
    17,350/40,911 = 40,911/x
  3. Step 3: Cross multiply
    17,350x = 40,911 × 40,911
  4. Step 4: Simplify right side
    17,350x = 1,673,709,921
  5. Step 5: Solve for x
    x = 1,673,709,921/17,350
  6. Step 6: Final answer
    x = 96,467.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.