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Finding the Third Proportional to 8,533.69 and 16,363.69

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Solution

The third proportional to 8,533.69 and 16,363.69 is: 31,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.69 : 16,363.69 = 16,363.69 : x
  2. Step 2: Convert to fraction form
    8,533.69/16,363.69 = 16,363.69/x
  3. Step 3: Cross multiply
    8,533.69x = 16,363.69 × 16,363.69
  4. Step 4: Simplify right side
    8,533.69x = 267,770,268.60
  5. Step 5: Solve for x
    x = 267,770,268.60/8,533.69
  6. Step 6: Final answer
    x = 31,378.03

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.