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Finding the Third Proportional to 9,731 and 20,845

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Solution

The third proportional to 9,731 and 20,845 is: 44,652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731 : 20,845 = 20,845 : x
  2. Step 2: Convert to fraction form
    9,731/20,845 = 20,845/x
  3. Step 3: Cross multiply
    9,731x = 20,845 × 20,845
  4. Step 4: Simplify right side
    9,731x = 434,514,025
  5. Step 5: Solve for x
    x = 434,514,025/9,731
  6. Step 6: Final answer
    x = 44,652.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.