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Finding the Third Proportional to 14,380.75 and 29,458.38

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Solution

The third proportional to 14,380.75 and 29,458.38 is: 60,344.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,380.75 : 29,458.38 = 29,458.38 : x
  2. Step 2: Convert to fraction form
    14,380.75/29,458.38 = 29,458.38/x
  3. Step 3: Cross multiply
    14,380.75x = 29,458.38 × 29,458.38
  4. Step 4: Simplify right side
    14,380.75x = 867,795,857.64
  5. Step 5: Solve for x
    x = 867,795,857.64/14,380.75
  6. Step 6: Final answer
    x = 60,344.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.