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Finding the Third Proportional to 41,725.75 and 64,046.75

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Solution

The third proportional to 41,725.75 and 64,046.75 is: 98,308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,725.75 : 64,046.75 = 64,046.75 : x
  2. Step 2: Convert to fraction form
    41,725.75/64,046.75 = 64,046.75/x
  3. Step 3: Cross multiply
    41,725.75x = 64,046.75 × 64,046.75
  4. Step 4: Simplify right side
    41,725.75x = 4,101,986,185.56
  5. Step 5: Solve for x
    x = 4,101,986,185.56/41,725.75
  6. Step 6: Final answer
    x = 98,308.27

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.