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Finding the Third Proportional to 5,293.63 and 11,290.25

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Solution

The third proportional to 5,293.63 and 11,290.25 is: 24,079.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.63 : 11,290.25 = 11,290.25 : x
  2. Step 2: Convert to fraction form
    5,293.63/11,290.25 = 11,290.25/x
  3. Step 3: Cross multiply
    5,293.63x = 11,290.25 × 11,290.25
  4. Step 4: Simplify right side
    5,293.63x = 127,469,745.06
  5. Step 5: Solve for x
    x = 127,469,745.06/5,293.63
  6. Step 6: Final answer
    x = 24,079.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.