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Finding the Third Proportional to 30,576.75 and 64,469.25

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Solution

The third proportional to 30,576.75 and 64,469.25 is: 135,929.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,576.75 : 64,469.25 = 64,469.25 : x
  2. Step 2: Convert to fraction form
    30,576.75/64,469.25 = 64,469.25/x
  3. Step 3: Cross multiply
    30,576.75x = 64,469.25 × 64,469.25
  4. Step 4: Simplify right side
    30,576.75x = 4,156,284,195.56
  5. Step 5: Solve for x
    x = 4,156,284,195.56/30,576.75
  6. Step 6: Final answer
    x = 135,929.56

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.