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Finding the Third Proportional to 5,313.09 and 11,443.78

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Solution

The third proportional to 5,313.09 and 11,443.78 is: 24,648.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.09 : 11,443.78 = 11,443.78 : x
  2. Step 2: Convert to fraction form
    5,313.09/11,443.78 = 11,443.78/x
  3. Step 3: Cross multiply
    5,313.09x = 11,443.78 × 11,443.78
  4. Step 4: Simplify right side
    5,313.09x = 130,960,129.30
  5. Step 5: Solve for x
    x = 130,960,129.30/5,313.09
  6. Step 6: Final answer
    x = 24,648.56

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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.