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Finding the Third Proportional to 9,380.18 and 20,426.24

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Solution

The third proportional to 9,380.18 and 20,426.24 is: 44,480.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.18 : 20,426.24 = 20,426.24 : x
  2. Step 2: Convert to fraction form
    9,380.18/20,426.24 = 20,426.24/x
  3. Step 3: Cross multiply
    9,380.18x = 20,426.24 × 20,426.24
  4. Step 4: Simplify right side
    9,380.18x = 417,231,210.32
  5. Step 5: Solve for x
    x = 417,231,210.32/9,380.18
  6. Step 6: Final answer
    x = 44,480.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.