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Finding the Third Proportional to 11,177.50 and 16,573

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Solution

The third proportional to 11,177.50 and 16,573 is: 24,572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177.50 : 16,573 = 16,573 : x
  2. Step 2: Convert to fraction form
    11,177.50/16,573 = 16,573/x
  3. Step 3: Cross multiply
    11,177.50x = 16,573 × 16,573
  4. Step 4: Simplify right side
    11,177.50x = 274,664,329
  5. Step 5: Solve for x
    x = 274,664,329/11,177.50
  6. Step 6: Final answer
    x = 24,572.97

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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.