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Finding the Third Proportional to 5,923.13 and 14,109.19

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Solution

The third proportional to 5,923.13 and 14,109.19 is: 33,608.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.13 : 14,109.19 = 14,109.19 : x
  2. Step 2: Convert to fraction form
    5,923.13/14,109.19 = 14,109.19/x
  3. Step 3: Cross multiply
    5,923.13x = 14,109.19 × 14,109.19
  4. Step 4: Simplify right side
    5,923.13x = 199,069,171.91
  5. Step 5: Solve for x
    x = 199,069,171.91/5,923.13
  6. Step 6: Final answer
    x = 33,608.81

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.