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Finding the Third Proportional to 11,906 and 22,731

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Solution

The third proportional to 11,906 and 22,731 is: 43,398.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906 : 22,731 = 22,731 : x
  2. Step 2: Convert to fraction form
    11,906/22,731 = 22,731/x
  3. Step 3: Cross multiply
    11,906x = 22,731 × 22,731
  4. Step 4: Simplify right side
    11,906x = 516,698,361
  5. Step 5: Solve for x
    x = 516,698,361/11,906
  6. Step 6: Final answer
    x = 43,398.15

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.