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Finding the Third Proportional to 11,193.19 and 16,533.49

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Solution

The third proportional to 11,193.19 and 16,533.49 is: 24,421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193.19 : 16,533.49 = 16,533.49 : x
  2. Step 2: Convert to fraction form
    11,193.19/16,533.49 = 16,533.49/x
  3. Step 3: Cross multiply
    11,193.19x = 16,533.49 × 16,533.49
  4. Step 4: Simplify right side
    11,193.19x = 273,356,363.91
  5. Step 5: Solve for x
    x = 273,356,363.91/11,193.19
  6. Step 6: Final answer
    x = 24,421.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.