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Finding the Third Proportional to 5,746 and 11,858

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Solution

The third proportional to 5,746 and 11,858 is: 24,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746 : 11,858 = 11,858 : x
  2. Step 2: Convert to fraction form
    5,746/11,858 = 11,858/x
  3. Step 3: Cross multiply
    5,746x = 11,858 × 11,858
  4. Step 4: Simplify right side
    5,746x = 140,612,164
  5. Step 5: Solve for x
    x = 140,612,164/5,746
  6. Step 6: Final answer
    x = 24,471.31

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.