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Finding the Third Proportional to 6,906 and 14,731

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Solution

The third proportional to 6,906 and 14,731 is: 31,422.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906 : 14,731 = 14,731 : x
  2. Step 2: Convert to fraction form
    6,906/14,731 = 14,731/x
  3. Step 3: Cross multiply
    6,906x = 14,731 × 14,731
  4. Step 4: Simplify right side
    6,906x = 217,002,361
  5. Step 5: Solve for x
    x = 217,002,361/6,906
  6. Step 6: Final answer
    x = 31,422.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.