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Finding the Third Proportional to 5,950.13 and 13,906.69

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Solution

The third proportional to 5,950.13 and 13,906.69 is: 32,502.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,950.13 : 13,906.69 = 13,906.69 : x
  2. Step 2: Convert to fraction form
    5,950.13/13,906.69 = 13,906.69/x
  3. Step 3: Cross multiply
    5,950.13x = 13,906.69 × 13,906.69
  4. Step 4: Simplify right side
    5,950.13x = 193,395,957.22
  5. Step 5: Solve for x
    x = 193,395,957.22/5,950.13
  6. Step 6: Final answer
    x = 32,502.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.