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Finding the Third Proportional to 14,129.44 and 34,617.38

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Solution

The third proportional to 14,129.44 and 34,617.38 is: 84,813.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.44 : 34,617.38 = 34,617.38 : x
  2. Step 2: Convert to fraction form
    14,129.44/34,617.38 = 34,617.38/x
  3. Step 3: Cross multiply
    14,129.44x = 34,617.38 × 34,617.38
  4. Step 4: Simplify right side
    14,129.44x = 1,198,362,651.89
  5. Step 5: Solve for x
    x = 1,198,362,651.89/14,129.44
  6. Step 6: Final answer
    x = 84,813.19

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.