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Finding the Third Proportional to 11,024.69 and 16,561.88

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Solution

The third proportional to 11,024.69 and 16,561.88 is: 24,880.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,024.69 : 16,561.88 = 16,561.88 : x
  2. Step 2: Convert to fraction form
    11,024.69/16,561.88 = 16,561.88/x
  3. Step 3: Cross multiply
    11,024.69x = 16,561.88 × 16,561.88
  4. Step 4: Simplify right side
    11,024.69x = 274,295,703.52
  5. Step 5: Solve for x
    x = 274,295,703.52/11,024.69
  6. Step 6: Final answer
    x = 24,880.13

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