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Finding the Third Proportional to 43,732 and 96,652

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Solution

The third proportional to 43,732 and 96,652 is: 213,610.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,732 : 96,652 = 96,652 : x
  2. Step 2: Convert to fraction form
    43,732/96,652 = 96,652/x
  3. Step 3: Cross multiply
    43,732x = 96,652 × 96,652
  4. Step 4: Simplify right side
    43,732x = 9,341,609,104
  5. Step 5: Solve for x
    x = 9,341,609,104/43,732
  6. Step 6: Final answer
    x = 213,610.38

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.