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Finding the Third Proportional to 14,204.25 and 29,319.75

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Solution

The third proportional to 14,204.25 and 29,319.75 is: 60,520.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,204.25 : 29,319.75 = 29,319.75 : x
  2. Step 2: Convert to fraction form
    14,204.25/29,319.75 = 29,319.75/x
  3. Step 3: Cross multiply
    14,204.25x = 29,319.75 × 29,319.75
  4. Step 4: Simplify right side
    14,204.25x = 859,647,740.06
  5. Step 5: Solve for x
    x = 859,647,740.06/14,204.25
  6. Step 6: Final answer
    x = 60,520.46

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.