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Finding the Third Proportional to 23,884.24 and 50,614.24

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Solution

The third proportional to 23,884.24 and 50,614.24 is: 107,259.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.24 : 50,614.24 = 50,614.24 : x
  2. Step 2: Convert to fraction form
    23,884.24/50,614.24 = 50,614.24/x
  3. Step 3: Cross multiply
    23,884.24x = 50,614.24 × 50,614.24
  4. Step 4: Simplify right side
    23,884.24x = 2,561,801,512.21
  5. Step 5: Solve for x
    x = 2,561,801,512.21/23,884.24
  6. Step 6: Final answer
    x = 107,259.07

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1.5x scale

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.