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Finding the Third Proportional to 41,576 and 63,232

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Solution

The third proportional to 41,576 and 63,232 is: 96,168.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,576 : 63,232 = 63,232 : x
  2. Step 2: Convert to fraction form
    41,576/63,232 = 63,232/x
  3. Step 3: Cross multiply
    41,576x = 63,232 × 63,232
  4. Step 4: Simplify right side
    41,576x = 3,998,285,824
  5. Step 5: Solve for x
    x = 3,998,285,824/41,576
  6. Step 6: Final answer
    x = 96,168.12

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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.