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Finding the Third Proportional to 20,550 and 32,670

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Solution

The third proportional to 20,550 and 32,670 is: 51,938.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,550 : 32,670 = 32,670 : x
  2. Step 2: Convert to fraction form
    20,550/32,670 = 32,670/x
  3. Step 3: Cross multiply
    20,550x = 32,670 × 32,670
  4. Step 4: Simplify right side
    20,550x = 1,067,328,900
  5. Step 5: Solve for x
    x = 1,067,328,900/20,550
  6. Step 6: Final answer
    x = 51,938.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.