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Finding the Third Proportional to 5,093.51 and 10,741.36

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Solution

The third proportional to 5,093.51 and 10,741.36 is: 22,651.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.51 : 10,741.36 = 10,741.36 : x
  2. Step 2: Convert to fraction form
    5,093.51/10,741.36 = 10,741.36/x
  3. Step 3: Cross multiply
    5,093.51x = 10,741.36 × 10,741.36
  4. Step 4: Simplify right side
    5,093.51x = 115,376,801.22
  5. Step 5: Solve for x
    x = 115,376,801.22/5,093.51
  6. Step 6: Final answer
    x = 22,651.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.