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Finding the Third Proportional to 17,775 and 41,150.25

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Solution

The third proportional to 17,775 and 41,150.25 is: 95,265.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,775 : 41,150.25 = 41,150.25 : x
  2. Step 2: Convert to fraction form
    17,775/41,150.25 = 41,150.25/x
  3. Step 3: Cross multiply
    17,775x = 41,150.25 × 41,150.25
  4. Step 4: Simplify right side
    17,775x = 1,693,343,075.06
  5. Step 5: Solve for x
    x = 1,693,343,075.06/17,775
  6. Step 6: Final answer
    x = 95,265.43

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.