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Finding the Third Proportional to 32,165 and 48,187

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Solution

The third proportional to 32,165 and 48,187 is: 72,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,165 : 48,187 = 48,187 : x
  2. Step 2: Convert to fraction form
    32,165/48,187 = 48,187/x
  3. Step 3: Cross multiply
    32,165x = 48,187 × 48,187
  4. Step 4: Simplify right side
    32,165x = 2,321,986,969
  5. Step 5: Solve for x
    x = 2,321,986,969/32,165
  6. Step 6: Final answer
    x = 72,189.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.