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Finding the Third Proportional to 7,794.94 and 16,563.56

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Solution

The third proportional to 7,794.94 and 16,563.56 is: 35,196.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.94 : 16,563.56 = 16,563.56 : x
  2. Step 2: Convert to fraction form
    7,794.94/16,563.56 = 16,563.56/x
  3. Step 3: Cross multiply
    7,794.94x = 16,563.56 × 16,563.56
  4. Step 4: Simplify right side
    7,794.94x = 274,351,602.69
  5. Step 5: Solve for x
    x = 274,351,602.69/7,794.94
  6. Step 6: Final answer
    x = 35,196.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.