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Finding the Third Proportional to 20,934 and 45,288

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Solution

The third proportional to 20,934 and 45,288 is: 97,974.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,934 : 45,288 = 45,288 : x
  2. Step 2: Convert to fraction form
    20,934/45,288 = 45,288/x
  3. Step 3: Cross multiply
    20,934x = 45,288 × 45,288
  4. Step 4: Simplify right side
    20,934x = 2,051,002,944
  5. Step 5: Solve for x
    x = 2,051,002,944/20,934
  6. Step 6: Final answer
    x = 97,974.73

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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.