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Finding the Third Proportional to 32,105.25 and 42,600

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Solution

The third proportional to 32,105.25 and 42,600 is: 56,525.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,105.25 : 42,600 = 42,600 : x
  2. Step 2: Convert to fraction form
    32,105.25/42,600 = 42,600/x
  3. Step 3: Cross multiply
    32,105.25x = 42,600 × 42,600
  4. Step 4: Simplify right side
    32,105.25x = 1,814,760,000
  5. Step 5: Solve for x
    x = 1,814,760,000/32,105.25
  6. Step 6: Final answer
    x = 56,525.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.