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Finding the Third Proportional to 22,224 and 52,458.75

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Solution

The third proportional to 22,224 and 52,458.75 is: 123,826.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,224 : 52,458.75 = 52,458.75 : x
  2. Step 2: Convert to fraction form
    22,224/52,458.75 = 52,458.75/x
  3. Step 3: Cross multiply
    22,224x = 52,458.75 × 52,458.75
  4. Step 4: Simplify right side
    22,224x = 2,751,920,451.56
  5. Step 5: Solve for x
    x = 2,751,920,451.56/22,224
  6. Step 6: Final answer
    x = 123,826.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.