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Finding the Third Proportional to 32,652 and 43,713

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Solution

The third proportional to 32,652 and 43,713 is: 58,520.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,652 : 43,713 = 43,713 : x
  2. Step 2: Convert to fraction form
    32,652/43,713 = 43,713/x
  3. Step 3: Cross multiply
    32,652x = 43,713 × 43,713
  4. Step 4: Simplify right side
    32,652x = 1,910,826,369
  5. Step 5: Solve for x
    x = 1,910,826,369/32,652
  6. Step 6: Final answer
    x = 58,520.96

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.