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Finding the Third Proportional to 11,408.34 and 24,429.09

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Solution

The third proportional to 11,408.34 and 24,429.09 is: 52,310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.34 : 24,429.09 = 24,429.09 : x
  2. Step 2: Convert to fraction form
    11,408.34/24,429.09 = 24,429.09/x
  3. Step 3: Cross multiply
    11,408.34x = 24,429.09 × 24,429.09
  4. Step 4: Simplify right side
    11,408.34x = 596,780,621.45
  5. Step 5: Solve for x
    x = 596,780,621.45/11,408.34
  6. Step 6: Final answer
    x = 52,310.89

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