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Finding the Third Proportional to 5,278.92 and 11,537.12

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Solution

The third proportional to 5,278.92 and 11,537.12 is: 25,214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.92 : 11,537.12 = 11,537.12 : x
  2. Step 2: Convert to fraction form
    5,278.92/11,537.12 = 11,537.12/x
  3. Step 3: Cross multiply
    5,278.92x = 11,537.12 × 11,537.12
  4. Step 4: Simplify right side
    5,278.92x = 133,105,163.13
  5. Step 5: Solve for x
    x = 133,105,163.13/5,278.92
  6. Step 6: Final answer
    x = 25,214.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.