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Finding the Third Proportional to 5,393.81 and 11,653.31

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Solution

The third proportional to 5,393.81 and 11,653.31 is: 25,176.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.81 : 11,653.31 = 11,653.31 : x
  2. Step 2: Convert to fraction form
    5,393.81/11,653.31 = 11,653.31/x
  3. Step 3: Cross multiply
    5,393.81x = 11,653.31 × 11,653.31
  4. Step 4: Simplify right side
    5,393.81x = 135,799,692.22
  5. Step 5: Solve for x
    x = 135,799,692.22/5,393.81
  6. Step 6: Final answer
    x = 25,176.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.