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Finding the Third Proportional to 5,746 and 11,862

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Solution

The third proportional to 5,746 and 11,862 is: 24,487.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746 : 11,862 = 11,862 : x
  2. Step 2: Convert to fraction form
    5,746/11,862 = 11,862/x
  3. Step 3: Cross multiply
    5,746x = 11,862 × 11,862
  4. Step 4: Simplify right side
    5,746x = 140,707,044
  5. Step 5: Solve for x
    x = 140,707,044/5,746
  6. Step 6: Final answer
    x = 24,487.83

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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.