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Finding the Third Proportional to 11,282.06 and 24,408.56

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Solution

The third proportional to 11,282.06 and 24,408.56 is: 52,807.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,282.06 : 24,408.56 = 24,408.56 : x
  2. Step 2: Convert to fraction form
    11,282.06/24,408.56 = 24,408.56/x
  3. Step 3: Cross multiply
    11,282.06x = 24,408.56 × 24,408.56
  4. Step 4: Simplify right side
    11,282.06x = 595,777,923.32
  5. Step 5: Solve for x
    x = 595,777,923.32/11,282.06
  6. Step 6: Final answer
    x = 52,807.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.