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Finding the Third Proportional to 5,953.13 and 13,081.31

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Solution

The third proportional to 5,953.13 and 13,081.31 is: 28,744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.13 : 13,081.31 = 13,081.31 : x
  2. Step 2: Convert to fraction form
    5,953.13/13,081.31 = 13,081.31/x
  3. Step 3: Cross multiply
    5,953.13x = 13,081.31 × 13,081.31
  4. Step 4: Simplify right side
    5,953.13x = 171,120,736.72
  5. Step 5: Solve for x
    x = 171,120,736.72/5,953.13
  6. Step 6: Final answer
    x = 28,744.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.