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Finding the Third Proportional to 24,224 and 54,115

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Solution

The third proportional to 24,224 and 54,115 is: 120,889.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,224 : 54,115 = 54,115 : x
  2. Step 2: Convert to fraction form
    24,224/54,115 = 54,115/x
  3. Step 3: Cross multiply
    24,224x = 54,115 × 54,115
  4. Step 4: Simplify right side
    24,224x = 2,928,433,225
  5. Step 5: Solve for x
    x = 2,928,433,225/24,224
  6. Step 6: Final answer
    x = 120,889.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.