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Finding the Third Proportional to 20,146 and 27,045

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Solution

The third proportional to 20,146 and 27,045 is: 36,306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146 : 27,045 = 27,045 : x
  2. Step 2: Convert to fraction form
    20,146/27,045 = 27,045/x
  3. Step 3: Cross multiply
    20,146x = 27,045 × 27,045
  4. Step 4: Simplify right side
    20,146x = 731,432,025
  5. Step 5: Solve for x
    x = 731,432,025/20,146
  6. Step 6: Final answer
    x = 36,306.56

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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.