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Finding the Third Proportional to 5,193.38 and 11,326.75

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Solution

The third proportional to 5,193.38 and 11,326.75 is: 24,703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.38 : 11,326.75 = 11,326.75 : x
  2. Step 2: Convert to fraction form
    5,193.38/11,326.75 = 11,326.75/x
  3. Step 3: Cross multiply
    5,193.38x = 11,326.75 × 11,326.75
  4. Step 4: Simplify right side
    5,193.38x = 128,295,265.56
  5. Step 5: Solve for x
    x = 128,295,265.56/5,193.38
  6. Step 6: Final answer
    x = 24,703.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.