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Finding the Third Proportional to 11,007.75 and 16,563.75

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Solution

The third proportional to 11,007.75 and 16,563.75 is: 24,924.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,007.75 : 16,563.75 = 16,563.75 : x
  2. Step 2: Convert to fraction form
    11,007.75/16,563.75 = 16,563.75/x
  3. Step 3: Cross multiply
    11,007.75x = 16,563.75 × 16,563.75
  4. Step 4: Simplify right side
    11,007.75x = 274,357,814.06
  5. Step 5: Solve for x
    x = 274,357,814.06/11,007.75
  6. Step 6: Final answer
    x = 24,924.06

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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.