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Finding the Third Proportional to 39,947.63 and 60,650.44

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Solution

The third proportional to 39,947.63 and 60,650.44 is: 92,082.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,947.63 : 60,650.44 = 60,650.44 : x
  2. Step 2: Convert to fraction form
    39,947.63/60,650.44 = 60,650.44/x
  3. Step 3: Cross multiply
    39,947.63x = 60,650.44 × 60,650.44
  4. Step 4: Simplify right side
    39,947.63x = 3,678,475,568.94
  5. Step 5: Solve for x
    x = 3,678,475,568.94/39,947.63
  6. Step 6: Final answer
    x = 92,082.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.