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Finding the Third Proportional to 14,114.25 and 20,739.38

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Solution

The third proportional to 14,114.25 and 20,739.38 is: 30,474.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.25 : 20,739.38 = 20,739.38 : x
  2. Step 2: Convert to fraction form
    14,114.25/20,739.38 = 20,739.38/x
  3. Step 3: Cross multiply
    14,114.25x = 20,739.38 × 20,739.38
  4. Step 4: Simplify right side
    14,114.25x = 430,121,675.39
  5. Step 5: Solve for x
    x = 430,121,675.39/14,114.25
  6. Step 6: Final answer
    x = 30,474.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.