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Finding the Third Proportional to 5,860.48 and 11,960.16

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Solution

The third proportional to 5,860.48 and 11,960.16 is: 24,408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,860.48 : 11,960.16 = 11,960.16 : x
  2. Step 2: Convert to fraction form
    5,860.48/11,960.16 = 11,960.16/x
  3. Step 3: Cross multiply
    5,860.48x = 11,960.16 × 11,960.16
  4. Step 4: Simplify right side
    5,860.48x = 143,045,337.52
  5. Step 5: Solve for x
    x = 143,045,337.52/5,860.48
  6. Step 6: Final answer
    x = 24,408.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.