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Finding the Third Proportional to 5,771.67 and 12,426.12

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Solution

The third proportional to 5,771.67 and 12,426.12 is: 26,752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.67 : 12,426.12 = 12,426.12 : x
  2. Step 2: Convert to fraction form
    5,771.67/12,426.12 = 12,426.12/x
  3. Step 3: Cross multiply
    5,771.67x = 12,426.12 × 12,426.12
  4. Step 4: Simplify right side
    5,771.67x = 154,408,388.36
  5. Step 5: Solve for x
    x = 154,408,388.36/5,771.67
  6. Step 6: Final answer
    x = 26,752.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.