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Finding the Third Proportional to 40,595 and 87,652

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Solution

The third proportional to 40,595 and 87,652 is: 189,256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,595 : 87,652 = 87,652 : x
  2. Step 2: Convert to fraction form
    40,595/87,652 = 87,652/x
  3. Step 3: Cross multiply
    40,595x = 87,652 × 87,652
  4. Step 4: Simplify right side
    40,595x = 7,682,873,104
  5. Step 5: Solve for x
    x = 7,682,873,104/40,595
  6. Step 6: Final answer
    x = 189,256.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.