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Finding the Third Proportional to 41,735.25 and 91,428.75

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Solution

The third proportional to 41,735.25 and 91,428.75 is: 200,291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,735.25 : 91,428.75 = 91,428.75 : x
  2. Step 2: Convert to fraction form
    41,735.25/91,428.75 = 91,428.75/x
  3. Step 3: Cross multiply
    41,735.25x = 91,428.75 × 91,428.75
  4. Step 4: Simplify right side
    41,735.25x = 8,359,216,326.56
  5. Step 5: Solve for x
    x = 8,359,216,326.56/41,735.25
  6. Step 6: Final answer
    x = 200,291.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.