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Finding the Third Proportional to 5,948 and 13,766

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Solution

The third proportional to 5,948 and 13,766 is: 31,859.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948 : 13,766 = 13,766 : x
  2. Step 2: Convert to fraction form
    5,948/13,766 = 13,766/x
  3. Step 3: Cross multiply
    5,948x = 13,766 × 13,766
  4. Step 4: Simplify right side
    5,948x = 189,502,756
  5. Step 5: Solve for x
    x = 189,502,756/5,948
  6. Step 6: Final answer
    x = 31,859.91

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.