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Finding the Third Proportional to 14,193.19 and 29,297.44

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Solution

The third proportional to 14,193.19 and 29,297.44 is: 60,475.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,193.19 : 29,297.44 = 29,297.44 : x
  2. Step 2: Convert to fraction form
    14,193.19/29,297.44 = 29,297.44/x
  3. Step 3: Cross multiply
    14,193.19x = 29,297.44 × 29,297.44
  4. Step 4: Simplify right side
    14,193.19x = 858,339,844.07
  5. Step 5: Solve for x
    x = 858,339,844.07/14,193.19
  6. Step 6: Final answer
    x = 60,475.48

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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.