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Finding the Third Proportional to 5,537.11 and 11,893.08

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Solution

The third proportional to 5,537.11 and 11,893.08 is: 25,544.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.11 : 11,893.08 = 11,893.08 : x
  2. Step 2: Convert to fraction form
    5,537.11/11,893.08 = 11,893.08/x
  3. Step 3: Cross multiply
    5,537.11x = 11,893.08 × 11,893.08
  4. Step 4: Simplify right side
    5,537.11x = 141,445,307.29
  5. Step 5: Solve for x
    x = 141,445,307.29/5,537.11
  6. Step 6: Final answer
    x = 25,544.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.