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Finding the Third Proportional to 39,576.75 and 70,385.25

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Solution

The third proportional to 39,576.75 and 70,385.25 is: 125,176.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,576.75 : 70,385.25 = 70,385.25 : x
  2. Step 2: Convert to fraction form
    39,576.75/70,385.25 = 70,385.25/x
  3. Step 3: Cross multiply
    39,576.75x = 70,385.25 × 70,385.25
  4. Step 4: Simplify right side
    39,576.75x = 4,954,083,417.56
  5. Step 5: Solve for x
    x = 4,954,083,417.56/39,576.75
  6. Step 6: Final answer
    x = 125,176.61

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.