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Finding the Third Proportional to 12,163.50 and 24,816.38

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Solution

The third proportional to 12,163.50 and 24,816.38 is: 50,631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.50 : 24,816.38 = 24,816.38 : x
  2. Step 2: Convert to fraction form
    12,163.50/24,816.38 = 24,816.38/x
  3. Step 3: Cross multiply
    12,163.50x = 24,816.38 × 24,816.38
  4. Step 4: Simplify right side
    12,163.50x = 615,852,468.14
  5. Step 5: Solve for x
    x = 615,852,468.14/12,163.50
  6. Step 6: Final answer
    x = 50,631.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.