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Finding the Third Proportional to 11,056.50 and 16,427.81

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Solution

The third proportional to 11,056.50 and 16,427.81 is: 24,408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,056.50 : 16,427.81 = 16,427.81 : x
  2. Step 2: Convert to fraction form
    11,056.50/16,427.81 = 16,427.81/x
  3. Step 3: Cross multiply
    11,056.50x = 16,427.81 × 16,427.81
  4. Step 4: Simplify right side
    11,056.50x = 269,873,023.54
  5. Step 5: Solve for x
    x = 269,873,023.54/11,056.50
  6. Step 6: Final answer
    x = 24,408.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.