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Finding the Third Proportional to 11,021.85 and 16,557.70

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Solution

The third proportional to 11,021.85 and 16,557.70 is: 24,873.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,021.85 : 16,557.70 = 16,557.70 : x
  2. Step 2: Convert to fraction form
    11,021.85/16,557.70 = 16,557.70/x
  3. Step 3: Cross multiply
    11,021.85x = 16,557.70 × 16,557.70
  4. Step 4: Simplify right side
    11,021.85x = 274,157,338.74
  5. Step 5: Solve for x
    x = 274,157,338.74/11,021.85
  6. Step 6: Final answer
    x = 24,873.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.