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Finding the Third Proportional to 17,415 and 40,635

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Solution

The third proportional to 17,415 and 40,635 is: 94,815

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,415 : 40,635 = 40,635 : x
  2. Step 2: Convert to fraction form
    17,415/40,635 = 40,635/x
  3. Step 3: Cross multiply
    17,415x = 40,635 × 40,635
  4. Step 4: Simplify right side
    17,415x = 1,651,203,225
  5. Step 5: Solve for x
    x = 1,651,203,225/17,415
  6. Step 6: Final answer
    x = 94,815

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.