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Finding the Third Proportional to 11,023.17 and 16,559.86

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Solution

The third proportional to 11,023.17 and 16,559.86 is: 24,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023.17 : 16,559.86 = 16,559.86 : x
  2. Step 2: Convert to fraction form
    11,023.17/16,559.86 = 16,559.86/x
  3. Step 3: Cross multiply
    11,023.17x = 16,559.86 × 16,559.86
  4. Step 4: Simplify right side
    11,023.17x = 274,228,942.52
  5. Step 5: Solve for x
    x = 274,228,942.52/11,023.17
  6. Step 6: Final answer
    x = 24,877.50

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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.