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Finding the Third Proportional to 5,933 and 13,045

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Solution

The third proportional to 5,933 and 13,045 is: 28,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,933 : 13,045 = 13,045 : x
  2. Step 2: Convert to fraction form
    5,933/13,045 = 13,045/x
  3. Step 3: Cross multiply
    5,933x = 13,045 × 13,045
  4. Step 4: Simplify right side
    5,933x = 170,172,025
  5. Step 5: Solve for x
    x = 170,172,025/5,933
  6. Step 6: Final answer
    x = 28,682.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.