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Finding the Third Proportional to 5,804 and 13,126

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Solution

The third proportional to 5,804 and 13,126 is: 29,685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804 : 13,126 = 13,126 : x
  2. Step 2: Convert to fraction form
    5,804/13,126 = 13,126/x
  3. Step 3: Cross multiply
    5,804x = 13,126 × 13,126
  4. Step 4: Simplify right side
    5,804x = 172,291,876
  5. Step 5: Solve for x
    x = 172,291,876/5,804
  6. Step 6: Final answer
    x = 29,685.02

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.