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Finding the Third Proportional to 5,826 and 8,041

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Solution

The third proportional to 5,826 and 8,041 is: 11,098.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826 : 8,041 = 8,041 : x
  2. Step 2: Convert to fraction form
    5,826/8,041 = 8,041/x
  3. Step 3: Cross multiply
    5,826x = 8,041 × 8,041
  4. Step 4: Simplify right side
    5,826x = 64,657,681
  5. Step 5: Solve for x
    x = 64,657,681/5,826
  6. Step 6: Final answer
    x = 11,098.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.