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Finding the Third Proportional to 5,847.75 and 12,863.11

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Solution

The third proportional to 5,847.75 and 12,863.11 is: 28,294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.75 : 12,863.11 = 12,863.11 : x
  2. Step 2: Convert to fraction form
    5,847.75/12,863.11 = 12,863.11/x
  3. Step 3: Cross multiply
    5,847.75x = 12,863.11 × 12,863.11
  4. Step 4: Simplify right side
    5,847.75x = 165,459,582.79
  5. Step 5: Solve for x
    x = 165,459,582.79/5,847.75
  6. Step 6: Final answer
    x = 28,294.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.