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Finding the Third Proportional to 5,904 and 13,131

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Solution

The third proportional to 5,904 and 13,131 is: 29,204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904 : 13,131 = 13,131 : x
  2. Step 2: Convert to fraction form
    5,904/13,131 = 13,131/x
  3. Step 3: Cross multiply
    5,904x = 13,131 × 13,131
  4. Step 4: Simplify right side
    5,904x = 172,423,161
  5. Step 5: Solve for x
    x = 172,423,161/5,904
  6. Step 6: Final answer
    x = 29,204.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.