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Finding the Third Proportional to 11,408.06 and 24,391.69

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Solution

The third proportional to 11,408.06 and 24,391.69 is: 52,152.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.06 : 24,391.69 = 24,391.69 : x
  2. Step 2: Convert to fraction form
    11,408.06/24,391.69 = 24,391.69/x
  3. Step 3: Cross multiply
    11,408.06x = 24,391.69 × 24,391.69
  4. Step 4: Simplify right side
    11,408.06x = 594,954,419.10
  5. Step 5: Solve for x
    x = 594,954,419.10/11,408.06
  6. Step 6: Final answer
    x = 52,152.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.