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Finding the Third Proportional to 17,775.75 and 41,151.75

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Solution

The third proportional to 17,775.75 and 41,151.75 is: 95,268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,775.75 : 41,151.75 = 41,151.75 : x
  2. Step 2: Convert to fraction form
    17,775.75/41,151.75 = 41,151.75/x
  3. Step 3: Cross multiply
    17,775.75x = 41,151.75 × 41,151.75
  4. Step 4: Simplify right side
    17,775.75x = 1,693,466,528.06
  5. Step 5: Solve for x
    x = 1,693,466,528.06/17,775.75
  6. Step 6: Final answer
    x = 95,268.36

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