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Finding the Third Proportional to 9,285.05 and 14,383.41

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Solution

The third proportional to 9,285.05 and 14,383.41 is: 22,281.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.05 : 14,383.41 = 14,383.41 : x
  2. Step 2: Convert to fraction form
    9,285.05/14,383.41 = 14,383.41/x
  3. Step 3: Cross multiply
    9,285.05x = 14,383.41 × 14,383.41
  4. Step 4: Simplify right side
    9,285.05x = 206,882,375.35
  5. Step 5: Solve for x
    x = 206,882,375.35/9,285.05
  6. Step 6: Final answer
    x = 22,281.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.